Question

A 12" pizza is $8. How much would you charge for a 9" pizza if you wanted to charge the same amount per bite for both pizzas? 6 IS NOT THE ANSWER.

Answer 1

Compare Areas. Assume a bite is close to a square inch.

The 12'' pizza has area of : pi*6^2 = 36pi
Price per bite = 8/(36pi) = 2/(9pi)

The 9" pizza has area of:  pi*(9/2)^2 = (81pi)/4
Price per bite = X/(81pi/4) = 2/(9pi)

X = 2/(9pi) * (81pi)/4  = 81/18 = 9/2 = $4.50