Two neighbors are each hosting a party. The first neighbor orders 5 large pizzas, each with a diameter of 16 inches. The second neighbor orders 9 small pizzas, each with a diameter of 12 inches. Which party has more crust? Explain how you know.

Answer 1

To determine which party has more crust, we need to calculate the total circumference of crust for each party.

For the first neighbor:
Each large pizza has a circumference of π x 16 inches = 16π inches.
Therefore, the total circumference of crust for 5 large pizzas would be 5 x 16π = 80π inches.

For the second neighbor:
Each small pizza has a circumference of π x 12 inches = 12π inches.
Therefore, the total circumference of crust for 9 small pizzas would be 9 x 12π = 108π inches.

Since 108π inches of crust is greater than 80π inches of crust, the second neighbor's party has more crust.