Question

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A6 inch personal pizza has 610 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices.
Estimate the number of calories in one slice of a 12 inch pizza.

Answer 1

305 calories, 120 from fat

Explanation:

The ratio of the area of the larger pizza to that of the smaller pizza is the square of the ratio of the diameters. So, the larger pizza has an area that is ...

(12/6)² = 4

times that of the smaller pizza. When that area is divided into 8 parts, each part has an area that is 4/8 = 1/2 the area of the smaller pizza.

We expect a slice of the larger pizza to have 1/2 the calories of a smaller pizza, so 305 calories, 120 from fat.

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610/2 = 305; 240/2 = 120.