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Math just got important! Which sector of pizza is a better deal! Reddit r/sciencememes

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  • Опубликовано: 9 июл 2024
  • We have two slices of pizza. One is with a radius of 6 inches and a central angle of 60 degrees while the other is with 7 inches and a central angle of 45 degrees. The first slice costs $1.50 and the second one costs $1.70. Although the prices aren't realistic (unless you are in New York because there are $1 slices), which slice is a better deal?
    Original post on Reddit: 👉 / tmmczrfjt2
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    #math #algebra #mathbasics

Комментарии • 1,4 тыс.

  • @bprpmathbasics
    @bprpmathbasics  27 дней назад +28

    1 divided by 0 (a 3rd grade teacher & principal both got it wrong), Reddit r/NoStupidQuestions
    ruclips.net/video/WI_qPBQhJSM/видео.html

  • @qwertek8413
    @qwertek8413 Месяц назад +3736

    If the radius of pizza is z, and the thickness is a, the volume of the entire pizza is just pizza.

  • @Sockerrus
    @Sockerrus Месяц назад +1042

    This is a perfect example for kids in school asking when they will ever use math outside of school.

    • @deivisnx
      @deivisnx Месяц назад +14

      Yeah, except i can use a calculator sooo...

    • @sergio73master1
      @sergio73master1 Месяц назад +32

      And except kids nowdays don't give a fck about the price or economy in general. The next Tik-tok video resets their worries...

    • @KingAfrica4
      @KingAfrica4 29 дней назад +88

      ​@@deivisnxcalculator not useful if you don't know the formula...

    • @rebane2001
      @rebane2001 29 дней назад +9

      ​@@KingAfrica4you don't even need to know the formula by heart, just that it exists and that it's applicable here

    • @josevictorribeirolisboa7576
      @josevictorribeirolisboa7576 29 дней назад +6

      Pretty sure people wouldn't use this for pizza. Nobody is going to use math for that.

  • @richardhole8429
    @richardhole8429 Месяц назад +389

    I am so sorry. I ate both pieces while attempting to solve.

    • @sureshmukhi2316
      @sureshmukhi2316 Месяц назад +2

      😂

    • @perrinromney4555
      @perrinromney4555 23 дня назад +5

      Which one took longer to eat? If you can determine that, we have ourselves an empirical solution.

    • @keescanalfp5143
      @keescanalfp5143 16 дней назад

      ​@@perrinromney4555,
      it'll always be the second i eat , just because it is the second , and because the difference between the volumes is rather small, as for my mouth .

    • @webpombo7765
      @webpombo7765 13 дней назад

      ​@@keescanalfp5143 I disagree, I don't think the second one would be slower just because it's the second one for me

  • @GoldenLeafsMovies
    @GoldenLeafsMovies Месяц назад +190

    Bro has the quickswap skill unlocked for switching markers.

  • @wobaguk
    @wobaguk Месяц назад +827

    Since Pi is a common factor in the two areas, you can disregard that in the calculation and keep the maths easier.

    • @theodoremurdock9984
      @theodoremurdock9984 Месяц назад +48

      1/360 is also a common factor that cancels out when you set up the ratio (also the units cancel out as long as they match, e.g. the ratio here is in square inches of pizza per square inch of pizza).

    • @feuerschlange6374
      @feuerschlange6374 Месяц назад +44

      ​@@theodoremurdock9984 no, angle/360 does not cancel out.
      One being 45/360 = 1/8
      And the other 60/360 = 1/6
      That leaves you with 49*(1/8)*pi
      And 36*(1/6)*pi
      Since pi is in both only another factor you can ingore pi

    • @CornyFlakez
      @CornyFlakez Месяц назад +80

      ​@@feuerschlange6374 nobody said anything about cancelling angle/360. They said that 1/360 is a common factor, which can be cancelled in both calculations.
      i.e. 60pi×6² and 45pi×7²
      However, the way I did it mentally was simplifying the fraction and expanding the square.
      ⅙pi×36 vs ⅛pi×49
      pi can get cancelled
      6 vs 49/8 = 6⅛
      so the right one is slightly larger but proportionally much more expensive. So i estimated the left one is more worth it.

    • @peterpan408
      @peterpan408 Месяц назад +6

      This would answer which is cheaper on a per area basis, but not tell you how much on a per area basis. But it wasn't asked so do it.

    • @GamingWithUncleJon
      @GamingWithUncleJon Месяц назад +18

      ​@@peterpan408so don't waste time on irrelevant calculations.

  • @daroxes6399
    @daroxes6399 Месяц назад +1624

    Everybody's out there doing actual maths and I'm here just counting the number of pieces of pepperoni and being objectively correct.

    • @brownfamily1892
      @brownfamily1892 Месяц назад +116

      This is the only correct method

    • @eminkilicaslan8945
      @eminkilicaslan8945 Месяц назад +118

      7" pizza has more pepperoni tho, but 6" pizza is more pizza per dollar.

    • @dark6.6E-34
      @dark6.6E-34 Месяц назад +56

      Dont forget the pictures on display can be misleading.

    • @0x1EGEN
      @0x1EGEN Месяц назад +22

      The question is about which has better price to size ratio, not which slice is bigger. 7 inch pizza is larger but also costs more.

    • @baranjan6969
      @baranjan6969 Месяц назад +9

      I just craft a glass bottle with those shapes and measure how many liters it takes to fill.

  • @marcush4741
    @marcush4741 Месяц назад +174

    On paper, the first one is a better deal. But we cant forget that a larger angle means more crust. We should look at the ratio of crust to non crust as well.

    • @russellharrell2747
      @russellharrell2747 29 дней назад +26

      Some people like more crust, especially if it’s stuffed.

    • @marcush4741
      @marcush4741 29 дней назад +27

      @@russellharrell2747 absolutely fair. Still, crust to pizza ratio is definitely worth looking into.

    • @GG-mb9rr
      @GG-mb9rr 27 дней назад +2

      Or dipping sauce

    • @kylen6430
      @kylen6430 25 дней назад +7

      While I agree with your point that crust is an important consideration, I just want to point out that a larger angle doesn’t strictly mean more crust. Both angle and radius are a factor, but in this case, yes the 6in piece has more crust

    • @Zack_Zander
      @Zack_Zander 24 дня назад +3

      ⁠@@russellharrell2747
      Yep, I don't like the crust *_unless_* it is stuffed.
      Like, I would eat it in a group situation, but if I have the choice, I’ll skip it.

  • @realDonaldMcElvy
    @realDonaldMcElvy Месяц назад +780

    I dunno man, you gotta consider the Crust Factor. The 1st Slice has a larger portion of the perimeter, thus more of a Crust/Cheese Ratio. Meanwhile, the 2nd Slice has less of a Crust Factor, and thus is appreciated at a higher value.

    • @Verxinn
      @Verxinn Месяц назад +161

      Don't forget the ergonomic aspect of pizza eating, its much easier and enjoyable to eat a thinner and longer slice

    • @ramennoodle2085
      @ramennoodle2085 Месяц назад +81

      Crust is the best part.

    • @highviewbarbell
      @highviewbarbell Месяц назад +36

      ​@@Verxinnones worth is determined by their girth

    • @vincentlamontagne7639
      @vincentlamontagne7639 Месяц назад +18

      Assuming a contant 1 inch wide crust of both pizzas, pizza #2 has a better cost to toppings area ratio!

    • @patrickd9551
      @patrickd9551 Месяц назад +8

      @@vincentlamontagne7639 Euhmmm, no. I actually started out writing a comment exactly to this degree. But in fact the smaller pizza still has more area thanks to the larger angle. I was actually considering a partial value to the crust and was midway through the math when I decided to first check the basic math portion of it. Sooooo, I deleted the comment ;)

  • @Zufalligeule
    @Zufalligeule Месяц назад +56

    I've used a bit different method to solve this:
    1. Divide the area for the bigger piece by the area of the smaller piece (pi's and 360's cancel out). I've got 45/60*(7^2)/(6^2) = 1.02 or 2% growth in area for the bigger piece.
    2. Divide the prices: 1.70/1.50 = 1.13 or 13% growth in price for the bigger piece.
    3. Since the growth in price is bigger than growth in area, smaller piece will be a better deal.

    • @richard7199
      @richard7199 Месяц назад +1

      I just did 25 cents per inch and came up with 5 cent save for the 7 inch slice lol

    • @mawillix2018
      @mawillix2018 Месяц назад +4

      @richard7199
      You forgot that the 7 inch pizza is thinner.
      With your logic a 10 by 1 rectangle of pizza is better than a 9 by 9 square of pizza.

    • @richard7199
      @richard7199 Месяц назад +1

      @@mawillix2018 I never said we’d get more food from it, merely that we get more inches of pizza.

    • @SunDry_Marchy
      @SunDry_Marchy 29 дней назад

      And you were wrong on both occasions. You aren't measuring length of pizza to determine what's better cost-wise, you use the volume (well, not exactly, we won't be able to properly calculate V, so S is fairly sufficient) ​@@richard7199

    • @mawillix2018
      @mawillix2018 29 дней назад +1

      @@richard7199 That depends on how you measure the pizza.

  • @danny1103
    @danny1103 Месяц назад +264

    Real life example: Costco Pizza always have the best deal, very large, fairly affordable, and no need the hassle on figuring out which coupon to apply that provide the most mathematical and financial advantage.

    • @bokkenka
      @bokkenka Месяц назад +13

      Sure... Much like Ikea, they hope you leave with a good feeling about the food (Wow! That was a great deal!) so that it translates into a good feeling overall about shopping there. First impressions are important, but so are last impressions.

    • @danny1103
      @danny1103 Месяц назад +7

      ​@@bokkenka I am still using my 15 year 70 inch desk from IKEA that was like $109 back then. The desk is still smooth and strong after moving like 5-8 times from house to house.

    • @johnpaullogan1365
      @johnpaullogan1365 Месяц назад +11

      but you have to calculate the cost of an hour drive to get to a costco and the cost of the costco membership. math gets complicated.

    • @NO1xANIMExFAN
      @NO1xANIMExFAN Месяц назад

      ​@@johnpaullogan1365the deals and frequency and amount of stuff I buy more than justifies the car drive and membership. It's a no brainer...

    • @sabin97
      @sabin97 Месяц назад

      @@johnpaullogan1365
      those "members only" shops CAN be a good idea. if you go there often and buy a lot, because those small savings add up.
      but if you dont buy a lot, it's mostly not worth it.

  • @danteeightsix9069
    @danteeightsix9069 Месяц назад +65

    Next time I see someone pull out a whiteboard while waiting in line to buy a slice, now I'll know why.

  • @davidellis1929
    @davidellis1929 Месяц назад +61

    The volume of a cylindrical pizza with radius Z and thickness A spells PIZZA.

  • @0x0404
    @0x0404 Месяц назад +63

    Theoretically the thinner longer slice will be better since it will have less of that outer edge crust depending how much it takes up

    • @martygreenspan-xy2jo
      @martygreenspan-xy2jo 29 дней назад +7

      Exactly! You have to take into account what portion of each is crust, cause everyone knows that cheesybites > crustybites.

    • @theNaluK
      @theNaluK 27 дней назад

      This is exactly what I was thinking!

    • @GG-mb9rr
      @GG-mb9rr 27 дней назад +3

      Not if you have dipping sauce for the crust

    • @Zakon213
      @Zakon213 27 дней назад

      Similarly, when I compute the value of pizza, I subtract 1 inch from the radius due to the crust

    • @macromite3758
      @macromite3758 27 дней назад +4

      outer edge crust is the best part. if you don't like it then you are a baby.

  • @neilgerace355
    @neilgerace355 Месяц назад +519

    Cut through the whole mess by never getting less than a whole pizza!

    • @jabbawookeez01
      @jabbawookeez01 Месяц назад +20

      thats y you get like the $6 little ceaser pizza or something and you get to enjoy it yourself. 💀

    • @taito404
      @taito404 Месяц назад +3

      Ooh. I like that thinking. Very creative

    • @ailst
      @ailst Месяц назад +31

      In this case you still have to be able to calculate whether a 24 cm diameter for 4 € is a better deal then the 28 cm diameter for 6 €!
      And multiplying segment angle/360 is just one relatively easy additional step.

    • @neilgerace355
      @neilgerace355 Месяц назад +1

      @@ailst That's all true, but you still end up with more pizza :)

    • @jamesharmon4994
      @jamesharmon4994 Месяц назад +9

      ​@neilgerace355 The question isn't which pizza is bigger, the question is which is the better value. Three is bigger than one, of course. But which should you choose if given the option $1 each versus three for $5. The one, of course. 😅

  • @3dbyeb971
    @3dbyeb971 Месяц назад +92

    Now calculate how much more crust you are buying on the 6" slice.

    • @jamesharmon4994
      @jamesharmon4994 Месяц назад +16

      Eat the crust!! 😅

    • @Snaproductions
      @Snaproductions Месяц назад +11

      the frust is good

    • @MrSparkefrostie
      @MrSparkefrostie Месяц назад +4

      That's the best part, that just improves the value of the 6' slice

    • @janb.3600
      @janb.3600 Месяц назад

      The 60° slice has 8/7 times the crust of the 45° slice, which makes it better.

    • @phiefer3
      @phiefer3 Месяц назад +3

      Assuming the crust is about 1 inch thick, the 6 inch slice has a better price per crust ratio AND a better topping per price ratio than the 7 inch slice.

  • @Wise_That
    @Wise_That Месяц назад +126

    49/36*6/8 = means second slice is 2% bigger but ~15% more expensive.

    • @oliverschell7014
      @oliverschell7014 Месяц назад +7

      Yes, but 13 % more expensive.

    • @GamerNineSix
      @GamerNineSix Месяц назад +3

      But also less crust

    • @lupolinar
      @lupolinar Месяц назад +2

      Also more salami slices

    • @Zhcwu
      @Zhcwu 24 дня назад

      Bread costs nothing but good pepperoni and cheese costs a lot.

  • @jamiew7805
    @jamiew7805 29 дней назад +20

    This is the type of question the teacher goes over in class that everyone loves and asks to be on the test.. then asks on the test as the final question “what width does the crust have to be for both pizzas (to the nearest quarter of an inch) for the deals to be equal for the cheese part?” .. simply to gauge if you truly understand what’s at stake in the original question.

  • @Nomimasu
    @Nomimasu Месяц назад +216

    With just a couple of tricks you actually don't have to calculate exact values. First pizza has 36 square units for 9 bucks, so it's 4 units for $1. Second pizza has 49 units for 1.7*8 = $13.6, but for $13 we can buy 52 units of the first pizza. So, first is cheaper.

    • @tranmanhuc6235
      @tranmanhuc6235 Месяц назад +2

      i did the same thing

    • @user-vc2yq4mm6t
      @user-vc2yq4mm6t Месяц назад +28

      My brain said, "bigger angle, not big difference in size, lower cost. Go with bigger for less cost."
      No need for math.

    • @OrangeC7
      @OrangeC7 Месяц назад +1

      I did something similar but I did some division so I had to use a calculator for the last bit. Using just multiplication is a lot nicer

    • @gaia9020
      @gaia9020 Месяц назад +5

      The number of pieces does not take in account the diameter or radius of the individual pizza. The first has a diameter of 12, the second of 14, so the second might still be the better deal due to it being larger, thus to just count the pieces is not sufficent :)

    • @Apollorion
      @Apollorion Месяц назад +4

      @@gaia9020 I think you misunderstood Nomimasu's OP. Nomimasu spoke of _square unit_ which I think was a unit for surface area, i.e. square inch over pi. The numbers of calculation shown were acquired by filling up the discs & realizing that the surface area of a disc is proportional to the square of their radius a.w.a. that the constants that reappear in the expressions for both discs cancel each other out when comparing the two discs.

  • @zeroone8800
    @zeroone8800 Месяц назад +147

    Since you are only comparing the price/area of the two slices, pi cancels out and need not be calculated.

    • @MikehMike01
      @MikehMike01 Месяц назад +11

      The 360 as well
      But then you will only be determining the better value and not the specific values

    • @msolec2000
      @msolec2000 Месяц назад +3

      Also the 360º in the denominator cancels out

    • @zeroone8800
      @zeroone8800 Месяц назад +14

      @@msolec2000 I prefer to instead reduce the angles to 1/6 and 1/8. The areas then become 6(pi) and 49/8*(pi).

    • @ajejebrazov2
      @ajejebrazov2 Месяц назад +4

      ​@@zeroone8800I did the same,so no need to approximate, which always introduce error

    • @57thorns
      @57thorns Месяц назад +5

      @@zeroone8800 Yes, and the of course pi goes away as well, which is a shame as I like pie as well as pizza.

  • @charlesxavier1904
    @charlesxavier1904 23 дня назад +3

    It's better if you just grab a slice and carry on with how close both of these are. If I'm getting paid minimum wage of 7.25 an hour and I'm doing roughly 4:32 seconds worth of work. That comes out to roughly 54 cents of time to calculate this problem. So it costs more money to calculate the unit price of these two similar pizzas than the money you lose by randomly picking the slice of those two closely sized slices.

  • @robertonoz616
    @robertonoz616 Месяц назад +24

    Love this problem. Gave it to my students once and as a bonus had them calculate how long the pizza would have to be for them to get the same deal if the pizza was only 1° wide lol

    • @R2Bl3nd
      @R2Bl3nd Месяц назад +5

      I would love to eat a pizza like that. It would be like having a conveyor belt made of crust, which is carrying sauce, cheese and toppings into my mouth.

    • @johnpaullogan1365
      @johnpaullogan1365 Месяц назад

      so a 1/2" radius pizza with a 45 degree arc? or a different radius and theta such that the length of the arc measures 1 inch but the area of that section of the pizza is such that it is 17/15 the area of the first?

    • @HeShoeTooBig
      @HeShoeTooBig 26 дней назад

      If I were a student, i would have just said "it'd be more efficient to just weigh slices."
      Seriously, by the time you solve this, the pizza done got cold.

  • @GIMMETHELOOTNOW
    @GIMMETHELOOTNOW 4 дня назад +1

    These 4 teenagers named Michael Angelo, Leo, Donny & Raph took a pizza 😂😂😂😂

  • @DEMERN
    @DEMERN Месяц назад +2

    when i figured it out, i just left pi out of the area equations. the ratio between the two areas is still the same with or without it, but it meant i was able to do it all without a calculator. well, except for the very end when i had to calculate 6.125 divided by 1.7

  • @davidellis1929
    @davidellis1929 Месяц назад +28

    You don't need to calculate the areas, just the ratio of 36/6 to 49/8. The latter shows the narrow slice is just barely larger, by a lesser factor than the price differential.

    • @abacaabaca8131
      @abacaabaca8131 Месяц назад +5

      But you still need to consider the price factor.
      Like so:
      1.50/(36/6) vs 1.70/(49/8)

    • @johnpaullogan1365
      @johnpaullogan1365 Месяц назад +3

      @@abacaabaca8131 or just check if 1.5*(49/8)/(36/6) is less than 1.7. simplifying gives us (3/2)*49/48) on the left side which is 147/96 which is 1.53125. so unless the second slice is less than that it is a worse deal

    • @meurdesoifphilippe5405
      @meurdesoifphilippe5405 Месяц назад +1

      Yes, or compare 36*4, and 49*3, so 144 vs 147. Almost same area, while the difference in prices is much greater.

    • @snestah
      @snestah Месяц назад +2

      Yeah, this is simpler to compare with fractions and highlights why you need to be comfortable with using fractions and decimals. No need to calculate pi, save time to eat the pie.

  • @fifiwoof1969
    @fifiwoof1969 Месяц назад +3

    Gotta love unit pricing - VERY useful at the grocery store! In Australia the grocery has to show you the unit price on the shelf - EASY PEASY!

    • @johnpaullogan1365
      @johnpaullogan1365 Месяц назад +1

      my grocery store does unit pricing but 3 brands of the same product one will give price per serving, one price per ounce and the 3rd will give price per gram

    • @sabin97
      @sabin97 Месяц назад +1

      i do this all the time.
      particularly when buying rice.
      for some reason the larger packets of rice arent always cheaper per unit.
      sometimes it's cheaper per unit to buy 2 small packets than a large one....so i always do the maths.....numbers dont lie. "common sense" does.

    • @fifiwoof1969
      @fifiwoof1969 Месяц назад +1

      @johnpaullogan1365 clearly they hate customers by mixing up units.
      Luckily in Australia the units match so the comparison is VERY easy to compare!

  • @andrewshiff2004
    @andrewshiff2004 26 дней назад +1

    I simply figured how much each pizza would cost once you added each slice to equal 360*.
    A) 1.50 x 6 =$9
    B) 1.70 X 8 = $13.60
    Knowing that two more slices of A would still be less costly than B. However, if B was better quality and taste and there were only two people sharing the pizza B would be the better choice. Simply based on shared experience.

  • @Jaymunnie
    @Jaymunnie Месяц назад +1

    There are also other variables to consider, like the width of the crust, the overall thickness of the pizza slice, the weight of the toppings.

  • @lool8421
    @lool8421 Месяц назад +6

    1st slice is 1/6 of a circle
    2nd slice is 1/8 of a circle
    surface area is pi*r^2
    1st slice: 36pi/6 in^2
    2nd slice: 49pi/8 in^2
    now just make the bottoms the same to compare the sizes
    288pi/48 in^2
    294pi/48 in^2
    seems like the 2nd pizza is better? well, it's bigger by about 2% but it's more expensive by 12-13%, so the first slice wins
    unless you really hate the edge, then the 2nd pizza is better

  • @rpfour4
    @rpfour4 Месяц назад +16

    I dunno. The 2nd pizza has more pepperoni.

    • @hemandy94
      @hemandy94 Месяц назад

      That's why it is 20 cents higher

    • @werdwerdus
      @werdwerdus Месяц назад +2

      of course it has more pepperoni, the total area is larger. the question is meant to measure value not absolute amounts

  • @jesss2830
    @jesss2830 28 дней назад +1

    "ah, but what of the crust-to-pie ratio?" me at 4am

    • @redslate
      @redslate 27 дней назад +1

      This is important.

  • @albertyu750
    @albertyu750 27 дней назад +1

    You can vastly simplify since in calculating the area, pi is a common factor. Just square the length and divide by the number of slices you could slice (60 is 6 slices, 45 is 8 slices). You don't even have to consider price at that point because it will be apparent that the 7in pizza has marginally greater area but costs a lot more.

  • @alexzaze1407
    @alexzaze1407 Месяц назад +6

    Can you teach how to do the instant marker-swap techinique? Does it work with pens aswell?

    • @adipy8912
      @adipy8912 Месяц назад

      Type "how to blackpenredpen" in the search bar

    • @inmuyataz
      @inmuyataz Месяц назад +1

      It does, you just need to rotate it, u just use your index finger to push and use the one above.
      Well at least that's how i do it , i think there's different method of doing it since i just try to copy my friends long ago

    • @alexzaze1407
      @alexzaze1407 Месяц назад

      @@inmuyataz a video tutorial would be nice for that

    • @adipy8912
      @adipy8912 Месяц назад

      @@alexzaze1407 He already has a video about it: ruclips.net/user/shortsgoMm-zD4tKA

    • @adipy8912
      @adipy8912 Месяц назад

      @@alexzaze1407 He already has a shorts video about it. Search "how to blackpenredpen"

  • @ironfoot1938
    @ironfoot1938 Месяц назад +39

    I'm disapointed that you didn't use a short cut to calculate it:
    You don't have to calculate the /360 and the * π as they are both equal factors. So having to compare them you can just work with rational numbers:
    6^2* 60 / 1.50 vs 7^2 * 45 / 1.70

    • @davesimms8825
      @davesimms8825 Месяц назад

      That’s how I did it.

    • @TFWPLSSUB
      @TFWPLSSUB Месяц назад

      That makes the number bigger though, 1/6 and 1/8 is just easier

    • @chrisschack9716
      @chrisschack9716 Месяц назад +3

      The /360 is easy to deal with here, it just factors out so it's 1/6 or 1/8 ... and that 1/6 further cancels against the 6^2

    • @mynameisnotjeff4184
      @mynameisnotjeff4184 Месяц назад

      Im disappointed a double integral wasn't used to calculate the area

  • @mengkhang1037
    @mengkhang1037 25 дней назад

    My math is how many pieces of pepperoni am I getting over the other one. Which ever one has more I'm buying.

  • @thechatter7102
    @thechatter7102 20 дней назад

    holding on to pi until the final step is always more satisfying

  • @nimiugn
    @nimiugn Месяц назад +3

    I'm glad we can instinctively tell that the 2nd one is slightly larger but not that large compared to the price difference

    • @gildedbear5355
      @gildedbear5355 Месяц назад +1

      Humans are, generally, pretty bad at comparing tall and thin things with short and wide things. Though it's worse when dealing with volume since there's an extra dimension involved.

    • @sabin97
      @sabin97 Месяц назад +1

      i couldnt instinctively tell. i had to do the calculations.
      i dont trust "instincts" or "common sense". i trust numbers.

  • @nicolastorres147
    @nicolastorres147 Месяц назад +9

    Calculator isn't necessary to compare both since both share the factor of pi/360° which you can ignore and compute the rest

  • @jeskoumm
    @jeskoumm 27 дней назад +1

    “OP did not mention, the 1.50 pizza uses cheese processed with almond milk from North Korea, whereas the 1.70 pizza uses marinara sauce made with soy from Taiwan.”

  • @Anthony_Marquis
    @Anthony_Marquis 28 дней назад +1

    In this particular example, as long as one knows that a circle is 360° in totality, one doesn't even necessarily need to know the (pi)(r^2) formula in order to figure out the solution.
    60° = 1/6 of 360° and 45° = 1/8. 1/6 of the 6-inch-side is 1/1 (or 8/8), and 1/8 of the 7-inch side is 7/8. Now, without doing any (pi)(r^2) calculations, we can already see that they are selling the 8/8-proportion slice for $1.50 which is both larger (in proportion) and cheaper than the 7/8-proportion slice which is being sold for $1.70. So one doesn't even have to complete the extra-step of dividing the two different proportions by their correlating prices to know that the cheaper slice also has a larger area-for-cost-ratio making it the obvious choice for anyone who wants to "get more bang for their buck".

  • @mikefochtman7164
    @mikefochtman7164 Месяц назад +25

    Now let's add the thickness. If the first pizza slice is 'thin and crispy' with thickness of 3/8 inch and the second is 'deep dish' with thickness of 1 inch.... lol

    • @dannyyeung8237
      @dannyyeung8237 Месяц назад +5

      Yeah thickness is important as well

    • @shaurryabaheti
      @shaurryabaheti Месяц назад +2

      why not include the toppings count and crust width at the edges

    • @werdwerdus
      @werdwerdus Месяц назад

      this and crispy will ALWAYS lose to total amount of pizza per price haha. it's like a cracker with sauce and cheese. but it's never any cheaper than hand tossed crust

    • @h4z4rd1000
      @h4z4rd1000 Месяц назад +2

      We were talking about Pizza here, deep dish is a garnished bread or tomato soup in a bread bowl, depending where you buy it, but not a pizza. :D

    • @daddymuggle
      @daddymuggle Месяц назад

      ​@@h4z4rd1000exactly. Thickness affects the deliciousness factor.

  • @R3LI2UI
    @R3LI2UI Месяц назад +10

    Actually, it did, but not in the way you might think. 6" slice has 7.5 pieces of pepperoni @ cost of $1.50. 7" slice has 8.75 pieces of pepperoni @ $1.70: 6" = $1.5/7.5 = $0.20 per slice of pepperoni, 7" = $1.7/8.75 =$0.19 per slice of pepperoni...7" slice is more cost effective at a penny less per slice of pepperoni. Cost of making pizza [manhours] is same regardless, cheese & sauce are fairly comparable across the two; pepperoni is most expensive ingredient on the pie. 8) Area of slice may be larger, but you're getting a more expensive meat topping.

    • @ABaumstumpf
      @ABaumstumpf Месяц назад +1

      i would say it is only 8.5 slices on the 7" - so value for that, but everything else is more.

    • @R3LI2UI
      @R3LI2UI Месяц назад +1

      @@ABaumstumpf Point [tongue-in-cheek] was meant to show there's more to the calculus than sheer geometry; otherwise agreed. 8)

    • @werdwerdus
      @werdwerdus Месяц назад +1

      that's fine if all you care about is maximizing total pepperoni. but that is obvious to see since the 2nd one has a larger total area. some of us prefer more crust so the first one wins in both price per unit area as well as more crust

  • @iagorocha4814
    @iagorocha4814 24 дня назад +1

    7" has more pepperoni slices, its enough for me.

  • @sofishticated289
    @sofishticated289 27 дней назад +1

    Maybe the Second is the better deal, because you get less crust which has no topping. The topping is the valuable part of the Pizza ;)

  • @leonardobarrera2816
    @leonardobarrera2816 Месяц назад +4

    That is why sellers of pizza never gives you mathematical data for you to buy it in the wrong way
    Hahaha

  • @IcyFrost200-eu8sr
    @IcyFrost200-eu8sr Месяц назад +21

    I somehow decided to just use my math skills while lying in bed with post nut clarity. It felt nice to do math

    • @davidsantiago7808
      @davidsantiago7808 28 дней назад

      Play a game of chess before you sleep, it's fun to use your brain before sleeping.

    • @PoKeKidMPK1
      @PoKeKidMPK1 27 дней назад

      ​​@@davidsantiago7808 then you lose without knowing why to someone who won without knowing why.
      then it didnt matter and now its the morning and your thinking about life after what ever occurs in the day.

    • @davidsantiago7808
      @davidsantiago7808 26 дней назад

      @@PoKeKidMPK1 or u win, but either way you experience a fun way to work the brain. Unless you're a sore loser you coudl have fun even if you lose, chess is just a game after all. The brain is a muscle, and a lot of people lack hobbies that stretch the brain. I am just saying it is healthy and relevant to the original comment

    • @PoKeKidMPK1
      @PoKeKidMPK1 26 дней назад

      @@davidsantiago7808 i dont think you do activities like chess often. it doesnt work that way, in even basic actions. googling info like that doesnt either because it creates beliefs.
      internet/supplements vs common good habits and purposeful testing
      worrying about being glorified on a random nights single chess game is also a hilarious self-brought contradiction to the point of learning.

    • @PoKeKidMPK1
      @PoKeKidMPK1 26 дней назад

      @@davidsantiago7808 you must not do activities like chess often then. it doesnt work that way, in even basic actions. you mind as well tell him to wake up, walk, breath, live life and it would be the same redundant idea. searching info like that doesnt either because it creates a fantasy.
      internet/supplements vs common good habits and purposeful testing
      worrying about whos being glorified on a random nights single chess game is also a hilarious self-brought contradiction to the point of learning.

  • @celesteamour
    @celesteamour 20 дней назад +1

    The better deal for me is always going to be the more narrow slice. I hate wide pizza slices almost as much as I hate a thick crust. I will pay more to not be annoyed 🍕

  • @Hyloshit
    @Hyloshit 27 дней назад

    This is why I always bring a kitchen scale so i dont have to do math for pizza.

  • @NoahOliver-rx3mp
    @NoahOliver-rx3mp 25 дней назад +11

    Hallelujah 🙌🏻!!!!! The daily jesus devotional has been a huge part of my transformation, God is good 🙌🏻🙌🏻. I was owing a loan of $49,000 to the bank for my son's brain surgery, Now I'm no longer in debt after I invested $11,000 and got my payout of $290,500 every month…God bless Mrs Susan Jane Christy ❤️

    • @KleffmanRosenbush
      @KleffmanRosenbush 25 дней назад

      Hello!! how do you make such monthly, I’m a born Christian and sometimes I feel so down of myself 😭 because of low finance but I still believe God

    • @KontyBierbaum
      @KontyBierbaum 25 дней назад

      Thanks to my co-worker (Carson ) who suggested Ms Susan Jane Christy

    • @LouisPeters-fw9cg
      @LouisPeters-fw9cg 25 дней назад

      She's a licensed broker here in the states🇺🇸 and finance advisor.

    • @LouisPeters-fw9cg
      @LouisPeters-fw9cg 25 дней назад

      After I raised up to 525k trading with her I bought a new House and a car here in the states🇺🇸🇺🇸 also paid for my son's surgery….Glory to God, shalom.

    • @SauredoFevold
      @SauredoFevold 25 дней назад

      Can I also do it??? My life is facing lots of challenges lately

  • @cubicinfinity2
    @cubicinfinity2 25 дней назад

    It's cool that just looking with my eyes I could make the correct guess that the left slice was a better deal. There is also the factor of edge crust vs toppings, but it's not enough in this case to make the larger slice better.

  • @Ramu-10
    @Ramu-10 Месяц назад +1

    As a lot of people here have pointed out, the crust is also important. In addition to that, the enjoynment of the crust matters too. Lets label that 'c'. The enjoynment of the rest would be 1 as in 100 %. Assume that the crust is 1 inch.
    The wide pizza has an area of
    A_wp = 1/6*π*5^2 = 25π/6
    and the tall pizza has an area of
    A_tp = 1/8*π*6^2 = 9π/2
    Crust is the remaining area. For the wide
    A_wc = 1/6*π*6^2 - 25π/6 = 11π/6
    and for the tall
    A_tc = 1/8*π*7^2 - 36π/8 = 13π/8
    Total food/enjoynment you're getting is
    f_w = (25+11c)/6
    f_t = (36+13c)/8
    Calculating the price per dollar for each gives us
    p_w = (25+11c)/6/1.5 = (25+11c)/9
    p_t = (36+13c)/8/1.7 = (36+13c)5/68
    Finally, lets see how much the crust enjoynment needs to be for each choice.
    (25+11c)/9 = (36+13c)5/68
    68(25+11c) = 45(36+13c)
    1700+748c = 1620+585c
    80+163c = 0
    c = -80/163 ~ -0.49
    As we see, since the enjoynment needs to be a negative number (0 means no crust basically) so regardless of whether you like crust or not, you should get the wide piece.

  • @JeffPenaify
    @JeffPenaify Месяц назад +1

    plus as a high school dropout with terrible math skills, but knows pizza, the 60 degree cut will yield more crust per $/ square inch vs the 7 inch slice at 45 degrees.

  • @EricHeran
    @EricHeran 23 дня назад

    Proud that I worked this exactly the same way before watching it. I worry about forgetting things as I age, I'm happy to report I may not use it as much as I would like, but I still can!

  • @jackmacziz6140
    @jackmacziz6140 26 дней назад +1

    A true mathematician would know that In the 4.5 minutes it took to figure out which pizza is cheaper and save 20 cents, you could’ve just worked an extra 4.5 minutes for federal minimum wage and had earned and extra 54 cents

  • @sethapongpaul
    @sethapongpaul 13 дней назад +1

    Just buy and eat, damn it! I’m hungry ! 😂😂😂

  • @andyroid8103
    @andyroid8103 9 дней назад

    The first thing I do at the slice shop is bust out my protractor. Slice shop owners hate this one trick.

  • @esunisen3862
    @esunisen3862 17 дней назад

    Americans: problem with pizza
    Italians: How dare you call this a pizza !?!?

  • @jarnovanderzee2469
    @jarnovanderzee2469 Месяц назад +1

    (7^(2)÷8)÷(6^(2)÷6) ≈ 1.021, so the long slice is aproximatly 2.1% bigger, but the price, is way bigger than that so i'd choose the phat slice.

  • @Henry.25
    @Henry.25 27 дней назад +1

    This is the perfect example of a situation where math isn't the solution.
    Just ask how much each slice weighs, the heaviest is the biggest. 😂😂😂😂
    (I'm kidding. I was a math teacher, math is important)

  • @Lisan_ps
    @Lisan_ps 18 дней назад

    "Lemme get a slice of pizza"
    "Sure, which one?"
    "Hold up lemme get my calculator"

  • @TheLobsterCopter5000
    @TheLobsterCopter5000 Месяц назад +1

    I would have done area/price to get in²/$ (so the higher the number, the better the deal).

  • @ConTrollFM
    @ConTrollFM Месяц назад

    The $1.70 has less crust and looks like more pepperoni slices in thumbnail, that's additional value

  • @IISourAyyII
    @IISourAyyII 23 дня назад

    see this is a good math teacher, it all makes sense, down to the marker colors, red = variable, black = constant

  • @William-Sunderland
    @William-Sunderland 27 дней назад

    Get area for both complete pizzas, as 60° is a 6th of a complete pizza A and 45° is a 8th of a complete pizza B, you can get both portion areas by dividing the area you need from a complete pizza, then its only a matter of dividing each area by its price to get the area of each of both pizzas that represents 1$, the higher value per $ is the better deal.

  • @protojager
    @protojager 24 дня назад

    My math skills are so bad that I got as far as figuring out that one pizza was $9 and the other was $13.60 without knowing how to apply that information or if it was even relevant.

  • @red2503
    @red2503 19 дней назад

    I always calculate if one large pizza is cheaper per area than two small pizzas to determine what to buy

  • @twylanaythias
    @twylanaythias Месяц назад +1

    Or...
    ~ 1/6 Pi 6^2 = 6 Pi
    ~ 1/8 Pi 7^2 = 6.125 Pi
    Option 1 : (6 Pi)/$1.50 = $0.25 per Pi
    ~ To provide the same value, the 7" slice would cost $1.533; as it actually costs $1.70, the 6" slice is clearly the superior value.
    Option 2 : $1.50 × 4 = $6 (making $ = Pi)
    ~ $1.70 × 4 = $6.80, which is clearly greater than 6.125; once again, the 6" slice is clearly the significantly better value.
    As this question is a simple comparison (which is the better value), all we need is a basic ratio between size and price. We don't even need to do precise calculations...
    Using Option 1, we know that the extra $0.20 at $0.25/Pi should provide 0.8 Pi more pizza for the same value vs the 0.125 Pi difference. There's no need to go any further in order to determine that the 7" slice offers less value than the 6" slice.

    • @yurenchu
      @yurenchu Месяц назад +1

      "... the 7" slice offers less value than the 6" slice."
      Judging from the image, the 7" slice offers about 8.5 round pieces of pepperoni while the 6" slice offers about 7 round pieces of pepperoni, so the 7" slice offers about 22% more pepperoni, for just a 13% higher price.

  • @thatguy4974
    @thatguy4974 16 дней назад +1

    What if you are getting a pizza with a crust false advertising is rampant nowadays, and lets not forget the spacing of those add ons which can impact the taste and amount you are going to get.

  • @jfm14
    @jfm14 29 дней назад

    Took me a second to realize you have two markers in your hand. I though it was a magic marker! 😂

  • @lobbyrobby
    @lobbyrobby 19 дней назад

    Just like high-school I quit paying attention pretty much right away and just waited for the answer. The original thought was the $1.50 slice

  • @CardDontShoot
    @CardDontShoot 26 дней назад

    The math is great sure. But the way he juggles those whiteboard markers is something else.

  • @Madcat0
    @Madcat0 26 дней назад

    "-sir, are you going to order? There's people waiting, and please don't mess with the flavor of the day chart.
    -Yes, I will have a calzone and a soda.
    -Medium or large soda.
    -Humm..."

  • @nico77212
    @nico77212 8 дней назад

    He failed to realize that the long pizza was a deep dish.

  • @jongilbertson2106
    @jongilbertson2106 Месяц назад +1

    In the time it took you to figure that out, your pizza was getting cold.

  • @spinogalaxy9473
    @spinogalaxy9473 17 дней назад

    You can also divide the area by the price to find the amount per dollar

  • @fvw1187
    @fvw1187 29 дней назад

    Imagine doing the hard part of this problem then not dividing the price correctly.

  • @gamadays2316
    @gamadays2316 Месяц назад

    Easier approach: first Pizza is 1/6 and second is 1/8 so whole pizzas cost: 9$ and 13,6$. r^2= 36 and 49. 9/36=0.25 13,6/49=0.27 smth. Therefore left is cheaper.

  • @bluegizmo1983
    @bluegizmo1983 23 дня назад

    0:48 NO, it's called a Slice of pizza, not a Sector or pizza! 😂

  • @Darkell64
    @Darkell64 8 дней назад +1

    If the number of pepperoni is the same in both, buy the cheaper one, I get it.

  • @Xeogin
    @Xeogin 29 дней назад

    Missing one critical variable: Total crust per slice
    I may've done maths for pizza in the past...

  • @avibhagan
    @avibhagan 16 дней назад

    0.5 pi r * 1/x
    36/6 Vs 49/8
    6 Vs 6&1/8 units.
    The slice for 1.50 is the better deal

  • @jacklawsen6390
    @jacklawsen6390 25 дней назад

    The 7" radius piece is a little bigger, but still slighty more expensive per square inch.

  • @j.thomas1420
    @j.thomas1420 Месяц назад

    As soon as food is involved, math is the most important topic of the day. More impressive even is that martini cone glass scam.

  • @badboybs98
    @badboybs98 27 дней назад

    You can do this without using pi.
    60*6 =360
    45*7= 315
    The first pizza is 15% bigger roughly. And cheaper.
    Unless you want exact numbers. This can be good for quick maths.

  • @battle00333
    @battle00333 Месяц назад

    Another neat approach to this is to look at scale factor.
    The 60deg pizza is, 60/45 x 36/49 times bigger/smaller than the 45deg pizza. (smaller) Which comes out at about 2.08% less area.
    But the price of the smaller pizza is 13.33% cheaper. In other words, the 45deg pizza, costs 13.33% more currency, for only 2.08% more area.

  • @seantaft3853
    @seantaft3853 29 дней назад

    These are the examples needed to teach math to students.
    It helps them understand a better deal, something they'll likely want to know. Plus, pizza.

  • @quickbiology-makesstudyate1204
    @quickbiology-makesstudyate1204 11 дней назад

    Next time we'll have to ask for 7 inch pizza with greater arc length for fareness 😂😂😂

  • @adampindell
    @adampindell 27 дней назад

    Yeah I just looked at it for like 2 seconds and could tell, and also recognize that they were very close in value.
    This is just area; Total volume or weight, even, could change things completely

  • @PK-gd6by
    @PK-gd6by Месяц назад +1

    "Okay, okay, what's better? A medium amount of good pizza? Or all you can eat of pretty good pizza?"

  • @Zulfar-bd9tc
    @Zulfar-bd9tc 25 дней назад

    Me thinking you need to do some weird semi-circle + triangle area combo because a pizza slide is just a portion of the edge of the circle for the crust + triangle for the pizza. Totally forgot that triangular pizza slices come in a damn circle and it's just easier to do the full circle area multiplied by the fraction the angle makes with the full circle lol. Got a 5 in AP Calc 2 in high school mind you.

  • @crasite
    @crasite 29 дней назад +1

    Regarding the crust. If the crust is longer than ~ 1.6 Inches then the tall one would be cheaper

  • @lucasrfma
    @lucasrfma 17 дней назад

    I compared the slices before watching the videos by simplifying the calculations. Since it's area calc, I squared the radius. And then the angle will determine a proportion, since it was 60o and 45o, I multiplied the first one by 4 and the second by 3.
    So:
    4 x 6^2 = 144 w/e units for $1.5
    3 X 7^2 = 147 w/e units for $1.7
    The $1.50 slice is better

  • @ElijahG_gnore
    @ElijahG_gnore Месяц назад

    This video is the reason why Denji and Power felt smart in episode 10 of Chainsaw man

  • @emilianatsuki8888
    @emilianatsuki8888 Месяц назад +1

    If this was how teacher teach math at school i would have been a math wizard

  • @Peungwon
    @Peungwon 25 дней назад

    Need to account for cost of pepperoni cheese sauce and dough and their ratios on the pizza as well

  • @SunDry_Marchy
    @SunDry_Marchy 29 дней назад

    Disregard 1/360 (keep the angles) and the pie number. They both repeat anyways, unique variables only should be in the final equation

  • @meyes1098
    @meyes1098 Месяц назад +1

    I prefer to do the area divided by the cost, because it basically tells you how much area of pizza you get for a dollar.
    In the first case it's 18.83/1.5 = 12.55 in^2 per dollar
    In the second case it's 19.25/1.7 = 11.32 in^2 per dollar
    The first case gives you more area per dollar, hence why it's better.
    This way also keeps it in line with how our caveman brains work, in that we consider the bigger number to be better :)

  • @quinnbell2388
    @quinnbell2388 25 дней назад

    Since pi is in both areas, it may be helpful to consider it as part of the units. Assuming I did my math right, I found slice a to have an area of 6 pi in^2 and slice b to have an are of 6.125 pi in^2. Considering the price per slice, that resulted in $0.25 per pi square inches for slice a and about $0.28 per pi square inches of slice b which seem like more useful numbers in this context

  • @icanhazgoodgame3845
    @icanhazgoodgame3845 Месяц назад

    While you were doing the math, I went and ate both slices of pizza.

  • @Tzizenorec
    @Tzizenorec Месяц назад

    You don't need to think about the value of Pi when you're comparing two values like this. The volume of the slice on the left is 60*6^2*(some constant). The volume of the slice on the right is 45*7^2*(that same constant). Divide both sides by the unknown constant, divide both sides again by 15 degrees, and you come up with the very easy comparison between 4*6^2 and 3*7^2. You can do that in your head.