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To solve this problem, we can use the concept of weighted averages.

Here’s how we approach it:

1. **Calculate the amount of fat in the cream:**
   - The cream has a fat percentage of 15%.
   - Volume of cream: 5 pints.
   - Amount of fat in cream = \( 5 \, \text{pints} \times 0.15 = 0.75 \, \text{pints of fat} \).

2. **Calculate the amount of fat in the milk:**
   - The milk has a fat percentage of 3%.
   - Volume of milk: 7 pints.
   - Amount of fat in milk = \( 7 \, \text{pints} \times 0.03 = 0.21 \, \text{pints of fat} \).

3. **Find the total fat in the mixture:**
   - Total fat = \( 0.75 \, \text{pints} + 0.21 \, \text{pints} = 0.96 \, \text{pints of fat} \).

4. **Find the total volume of the mixture:**
   - Total volume = \( 5 \, \text{pints} + 7 \, \text{pints} = 12 \, \text{pints} \).

5. **Calculate the percentage of fat in the mixture:**
   - Fat percentage = \( \left(\frac{0.96 \, \text{pints of fat}}{12 \, \text{pints}}\right) \times 100 = 8\% \).

Thus, the percentage of fat in the mixture is **8%**.

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. How would the percentage change if the milk were 5% fat instead of 3%?
2. If the cream were 10% fat, what would the new percentage of fat in the mixture be?
3. How would the fat content change if only 3 pints of milk were used?
4. Can you generalize this solution to any mixture of cream and milk with different fat percentages?
5. How does the total volume affect the fat concentration in the final mixture?

**Tip:** When working with mixtures, focus on both the amount of substance (in this case, fat) and the total volume to find percentages.

Stacy reduces the milk-fat content of 5 pints of cream that is 15% fat by combining it with 7 pints of milk that is only 3% fat. What is the percentage of fat in the mixture?

Learn how to calculate the fat percentage in a mixture of 5 pints of cream with 15% fat and 7 pints of milk with 3% fat. This solution uses the weighted average formula and percentage calculations, making it perfect for students in Grades 6-8.

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