Question

Problem: Jessica ordered a pizza. One-half of the pizza had pepperoni only, one-sixth of the pizza had mushrooms, and the rest of the pizza was cheese only. What fraction of the pizza was cheese only?

Answer 1

1/3 of the pizza

Explanation:

Number of pizza ordered = 1

pepperoni only part = One-half of the pizza = 1/2 of the pizza

Mushrooms part = one-sixth of the pizza = 1/6 of the pizza

Cheese only part = x

Total pizza = pepperoni only part + Mushrooms part + Cheese only part

1 = 1/2 + 1/6 + x

1 = (3+1) /6 + x

1 = 4/6 + x

1 - 4/6 = x

x = 1 - 2/3

= (3-2) / 3

x = 1/3 of the pizza

Cheese only part = x = 1/3 of the pizza