Cougar Pizza Parlor has just opened up across the street. You are thinking of inviting some friends over for pizza and ordering from Cougar's. You want to get the most pizza for the money. The menu shows the following prices.

6- inch round pizza....$7.50
12- inch round pizza.....$12.00
18- inch round pizza.....$16.00
How many 6 inch pizzas have the same amount of pizza as one 12 inch pizza? How many 6 inch pizzas have the same amount of pizza as one 18 inch pizza?

You need to find the areas of each of these pizzas.

A = pi * r^2
A = 3.14 * 3^2
A = 3.14 * 9
A = 28.26 square inches for the 6-inch pizza

Figure the areas of the others the same way.

To determine how many 6-inch pizzas have the same amount of pizza as one 12-inch pizza, we need to compare the area of the two pizzas.

The formula for the area of a circle is πr^2, where r is the radius of the circle.

For the 6-inch pizza, the radius would be 6/2 = 3 inches. So the area of one 6-inch pizza would be π(3^2) = 9π square inches.

For the 12-inch pizza, the radius would be 12/2 = 6 inches. So the area of one 12-inch pizza would be π(6^2) = 36π square inches.

Now, we just need to divide the area of the 12-inch pizza by the area of the 6-inch pizza:
36π / 9π = 4

Therefore, you would need 4 of the 6-inch pizzas to have the same amount of pizza as one 12-inch pizza.

To determine how many 6-inch pizzas have the same amount of pizza as one 18-inch pizza, we can follow the same process.

The radius of the 18-inch pizza would be 18/2 = 9 inches. So the area of one 18-inch pizza would be π(9^2) = 81π square inches.

Dividing the area of the 18-inch pizza by the area of the 6-inch pizza:
81π / 9π = 9

Therefore, you would need 9 of the 6-inch pizzas to have the same amount of pizza as one 18-inch pizza.