Friday, February 24, 2012

If a large pizza of 18 inches cost $15, at what price and below would a medium pizza of 10?

inches be the better deal?If a large pizza of 18 inches cost $15, at what price and below would a medium pizza of 10?
Not sure if I did this right because the final result is so low, but here is my logic



Find area of 18" pizza. P = pi (I rounded to 3.14)

r = 18 / 2 = 9

A = P * r^2 = 3.14 * 9^2 = 254.31

Area per dollar = Area of pizza / Price = 254.31 / 15 = 16.956 area of pizza per 1$



Compare to 10" pizza

r = 5

A = 3.14 * 5^2 = 78.5

Area per dollar = Area of pizza / Price



For a better deal, want area per dollar to be %26gt;= 16.956

16.956 %26lt;= Area of pizza / price

16.956 %26lt;= 78.5 / price

price %26lt;= 78.5 / 16.956

price %26lt;= $4.63If a large pizza of 18 inches cost $15, at what price and below would a medium pizza of 10?
get the area per dollar



(pi) * r^2 = 3.14*9^2 = 254.47



per dollar



254.47 / 15 = 16.96 square inches per dollar



(pi) * r^2 = 3.14*5^2 = 78.54



78.54/16.96 = 4.63



so you'd have to pay less than 4.63 to get a better deal with a 10 inch medium pie.

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