## Question

###### Food Service: A medium pizza at Papa's Pizza is 9in

Food Service: A medium pizza at Papa's Pizza is 9in. in diameter and a large pizza is 12 in. in diameter. If a medium pizza will serve 4 customers, how many servings will a large pizza provide?

## Answers

For the medium pizza, 4 customers ate the same amount of area of the pizza. A = (pi)r^2 A = (pi)4.5^2 = 20.25(pi) A/4 = 5.0625(pi) is the amount consumed by each individual ~~~~ A = (pi)r^2 A = (pi)6^2 = 36(pi) A/x = 36(pi)/x is the amount consumed by each individual x for the larger pizza ~~~~ 5.0625(pi) = 36(pi)/x 5.0625(pi)x = 36(pi) x = 36(pi)/5.0625(pi) x = 36/5.0625 = 7 1/9 or 7 people

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