Question

Molly is making strawberry-infused water. For each ounce of strawberry juice, she uses three times as many ounces of water. How many ounces of strawberry juice and how many ounces of water does she need to make 64 ounces of strawberry-infused water?

Short answer

She needs 16 ounces of strawberry juice and 48 ounces of water.

Step-by-step solution

Given

Molly is making strawberry-infused water. For each ounce of strawberry juice, she uses three times as many ounces of water.

To determine

How many ounces of strawberry juice and how many ounces of water does she need to make 64 ounces of strawberry-infused water?

Calculation

Let us assume:

She needs x ounces of strawberry juice and y ounces of water.

According to the question:

$$\begin{gathered} x+y=64 \\ y=3x \end{gathered}$$

Plug $y=3x$in the other equation.

localid="1647971263596" $$\begin{gathered} x+y=64 \\ x+3x=64 \\ 4x=64 \\ x=16 \\ 3x=3\left(16\right) \\ 3x=48 \end{gathered}$$

Hence, she needs 16 ounces of strawberry juice and 48 ounces of water.