Question
13 Hallie made 12 quarts of homemade yogurt. She put the yogurt in \( \frac{3}{4} \)-cup containers. How many containers did Hallie fill?
Ask by Mejia Higgins. in the United States
Jan 23,2025
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Tutor-Verified Answer
Answer
Hallie filled 64 containers.
Solution
To determine how many \( \frac{3}{4} \)-cup containers Hallie can fill with 12 quarts of yogurt, follow these steps:
1. **Convert Quarts to Cups:**
- 1 quart = 4 cups
- 12 quarts = \( 12 \times 4 = 48 \) cups
2. **Determine the Number of Containers:**
- Each container holds \( \frac{3}{4} \) cup
- Number of containers = \( \frac{48 \text{ cups}}{\frac{3}{4} \text{ cup per container}} \)
- To divide by a fraction, multiply by its reciprocal:
- \( 48 \times \frac{4}{3} = 64 \)
**Answer:** Hallie filled **64** containers.
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Simplify this solution Extra Insights
To find out how many \( \frac{3}{4} \)-cup containers Hallie filled with her 12 quarts of yogurt, we first need to convert 12 quarts into cups. Since 1 quart equals 4 cups, we calculate: \[ 12 \text{ quarts} \times 4 \text{ cups/quart} = 48 \text{ cups} \] Next, we divide the total cups of yogurt by the volume of each container: \[ \frac{48 \text{ cups}}{\frac{3}{4} \text{ cup/container}} = 48 \times \frac{4}{3} = 64 \text{ containers} \] So, Hallie filled 64 containers!
