A 6 inch personal pizza has 590 calories, with 240 of those from fat. A 14 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 14 inch pizza.

Answer 1

Let's start by finding the areas.

A = πr² (Area of a circle is Pi * radius squared)

A_smaller = 9π (half of 6 is 3, 3 squared is 9)

A_larger = 49π (half of 14 is 7, 7 squared is 49)

Now lets see how many calories is in the 14-incher by finding the ratio:

⁵⁹⁰/_9π = ^x/_49π

Since the math problem is telling us to estimate, let's round off:

⁵⁹⁰/_10π = ^x/_50π

Isolate x by multiplying both sides by 50π:

⁵⁹⁰ * ^50π/_10π = x

Factor out 10 and Pi

590 * 5 = x

Let's not quite solve that just yet. we can do some cancellation by throwing in the slice part. If the pizza is cut into 8 slices, then each slice is going to be ¹/₈ of the pizza:

590 * 5 / 8 = slice

We can factor out a 2:

^{295 * 5} / ₄ = x

1475 / 4 = x

1475 is close to 1476:

1476 / 4 = 369

So there are around 369 calories in each slice.