11:56 AM Thu Jan 23 \( 89 \% \) Done AA app.edulastic.com Question 14/20 NEXT BOOKMARK 4 MOLLIE FA... 14 To make his favorite juice drink, Jake mixes apple juice and cranberry juice in the ratio of \( 3: 5 \). If Jake used 9 ounces of apple juice, how many ounces of cranberry juice did he use? ounces of cranberry juice.

To determine how many ounces of cranberry juice Jake used, let's analyze the given ratio and the amount of apple juice. **Given:** - Ratio of apple juice to cranberry juice = \( 3 : 5 \) - Amount of apple juice used = 9 ounces **Step-by-Step Solution:** 1. **Understand the Ratio:** - The ratio \( 3 : 5 \) means that for every **3 parts** of apple juice, there are **5 parts** of cranberry juice. 2. **Find the Value of One Part:** - If \( 3 \) parts of apple juice equal \( 9 \) ounces, then: \[ 1 \text{ part} = \frac{9 \text{ ounces}}{3} = 3 \text{ ounces} \] 3. **Calculate the Cranberry Juice:** - Cranberry juice is \( 5 \) parts, so: \[ \text{Cranberry juice} = 5 \times 3 \text{ ounces} = 15 \text{ ounces} \] **Answer:** Jake used **15 ounces** of cranberry juice.