Question
There are 4 cups in 1 quart and 4 quarts in 1 gallon. A baker needs 1 cup of milk for each batch of muffins he makes. He has 3 gallons of milk and wants to make as many batches as possible. How many batches of muffins will the baker make? Complete the statement. The baker will make \( \square \) ? batches of muffins. 12 36 48
Ask by Macdonald Smith. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The baker will make 48 batches of muffins.
Solution
To determine how many batches of muffins the baker can make with 3 gallons of milk, follow these steps:
1. **Convert Gallons to Quarts:**
- There are 4 quarts in 1 gallon.
- \( 3 \text{ gallons} \times 4 \text{ quarts/gallon} = 12 \text{ quarts} \)
2. **Convert Quarts to Cups:**
- There are 4 cups in 1 quart.
- \( 12 \text{ quarts} \times 4 \text{ cups/quart} = 48 \text{ cups} \)
3. **Determine the Number of Batches:**
- The baker uses 1 cup of milk per batch.
- Therefore, \( 48 \text{ cups} \div 1 \text{ cup/batch} = 48 \text{ batches} \)
**Complete Statement:**
The baker will make \( \boxed{48} \) batches of muffins.
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Simplify this solution The Deep Dive
The baker has 3 gallons of milk. Since there are 4 quarts in a gallon, he has \( 3 \times 4 = 12 \) quarts of milk. Then, since there are 4 cups in a quart, he has \( 12 \times 4 = 48 \) cups of milk. Since each batch of muffins requires 1 cup, the baker can make 48 batches. The baker will make \( 48 \) batches of muffins.
