Question

The recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain a 1/3 ratio. While making the fruit smoothie, Suzy accidentally puts 3 cups of fruit into the pitcher. How many cups of yogurt should be put in the pitcher to maintain the ratio of 1/3.

Answer 1

9 cups of yogurt.

Explanation:

Let x represent number of yogurt cups.

We have been given that the recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain a 1/3 ratio. While making the fruit smoothie, Suzy accidentally puts 3 cups of fruit into the pitcher.

We will use proportion to solve our given problem as proportion states that two quantities are similar.

`\frac{\text{Fruit}}{\text{Yogurt}}=(2)/(6)=(1)/(3)`

Upon substituting 3 fruit cups and x in our proportion, we will get:

`(3)/(x)=(1)/(3)`

Cross multiply:

`3\cdot 3=1\cdot x\\\\9=x`

Therefore, 9 cups of yogurt should be put in the pitcher to maintain the ratio of 1/3.