At a pizzeria, a medium pizza which has diameter of 12 inches sells for $6.00 and a large pizza which has a diameter of 16 inches sells for $10.00. Which pizza is the better deal because it costs less per square inch?

Question

Mathematics

Leonel York

6 July, 04:37

At a pizzeria, a medium pizza which has diameter of 12 inches sells for $6.00 and a large pizza which has a diameter of 16 inches sells for $10.00. Which pizza is the better deal because it costs less per square inch?

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Answers (1)

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Williamson · Answer 1

We are comparing areas, so square of the linear dimension

Relative cost per unit area

12^2/6=24

16^2/10=256/10=25.6

Since 24<25.6, the 12" pizza is a better deal.

Note: we could compare exact area by calculating A=pi (d^2) / 4, but since it is a relative comparison, the result will be the same, albeit more work.