Answer:
9 cups of yogurt.
Step-by-step 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.
[tex]\frac{\text{Fruit}}{\text{Yogurt}}=\frac{2}{6}=\frac{1}{3}[/tex]
Upon substituting 3 fruit cups and x in our proportion, we will get:
[tex]\frac{3}{x}=\frac{1}{3}[/tex]
Cross multiply:
[tex]3\cdot 3=1\cdot x\\\\9=x[/tex]
Therefore, 9 cups of yogurt should be put in the pitcher to maintain the ratio of 1/3.
