Suzanne and her friends went out to order a extra large pizza. They requested that pepperoni be placed on one-third of the pizza and sausage be placed one-fourth of the pizza and to leave the rest of the pizza just plain cheese. How much more of the pizza had just cheese?

Respuesta :

Answer:the portion of the pizza that has just cheese left is 5/12

Step-by-step explanation:

Let x represent the size of the extra large pizza that Suzanne and her friends ordered.

They requested that pepperoni be placed on one-third of the pizza. This means that the portion of the pizza that is covered by cheese would be 1/3 × x = x/3

They also requested that sausage be placed one-fourth of the pizza and to leave the rest of the pizza just plain cheese. This means that the portion of the pizza that is covered by sausage would be 1/4 × x = x/4

The total portion of the pizza covered by pepperoni and sausage is

x/3 + x/4 = 7x/12

The portion of the pizza that had just cheese would be

x - 7x/12 = 5x/12