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.

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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.
Jake used 15 ounces of cranberry juice.

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