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Question 841105: The amount of dough needed varies jointly as the number of pizzas, the thickness of the pizzas and the square of the diameter of the pizzas. If two pizzas with 8 inch diameter and a thickness of 1/8 inch require 18 ounces of dough, then how much dough is needed for 12 pizzas with a 12 inch diameter and 3/8 inch thickness?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The amount of dough needed varies jointly as the number of pizzas, the thickness of the pizzas and the square of the diameter of the pizzas. If two pizzas with 8 inch diameter and a thickness of 1/8 inch require 18 ounces of dough, then how much dough is needed for 12 pizzas with a 12 inch diameter and 3/8 inch thickness?
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d = k*n*t*d^2
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Solve for "k" using "two pizzas with 8 inch diameter and a thickness of 1/8 inch require 18 ounces of dough"
18 = k*2*1/8*8^2
18 = 16k
k = 9/8
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Equation:
d = (9/8)n*t*d^2
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how much dough is needed for 12 pizzas with a 12 inch diameter and 3/8 inch thickness?
d = (9/8)12*(3/8)*12^2
d = (9/8)(3/8)*12^3
d = (27/64)12^3
d = 729 ounces of dough
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Cheers,
Stan H.
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