Question

A recipe says to use 1/3 cup of orange juice to make 5/6 serving of fruit smoothie. How many cups of orange juice are in 1 serving? Show your work.

Answer 1

To find the number of cups of orange juice in 1 serving, set up a proportion and solve for x.

Step-by-step explanation:

To find the number of cups of orange juice in 1 serving, we can use a proportion.

Since the recipe calls for 1/3 cup of orange juice to make 5/6 serving of fruit smoothie, we can set up the proportion:

1/3 cup / 5/6 serving = x cups / 1 serving

To solve for x, we can cross-multiply and divide:

1/3 x 1 serving = 5/6 x cups

x = (5/6) / (1/3)

x = 5/6 x 3/1

x = 15/6

x = 2.5 cups

So, there are 2.5 cups of orange juice in 1 serving of the fruit smoothie.