Question
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.
Ask by Harris Rogers. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Jake used 15 ounces of cranberry juice.
Solution
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.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
Jake’s juice ratio of apple juice to cranberry juice is \( 3:5 \). This means for every 3 parts of apple juice, there are 5 parts of cranberry juice. If Jake used 9 ounces of apple juice, we can set up a proportion to find out how much cranberry juice he used. Since \( 3 \) parts corresponds to \( 9 \) ounces, we can calculate the amount of cranberry juice by determining how many ounces each part represents. If \( 9 \div 3 = 3 \) ounces per part, then the 5 parts of cranberry juice would be \( 5 \times 3 = 15 \) ounces. So, Jake used 15 ounces of cranberry juice! Enjoy that delicious mix!
