Question

A recipe uses 22 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from one gallon?
1 gallon, equals, 4 quarts
1 gallon=4 quarts
1 quart=2 pints
1 pint=2 cups
1 cup=8 fluid ounces

Answer 1

To determine how many servings can be made from one gallon of milk, let's first establish how many cups are in one gallon.

1. **Convert gallons to cups:**
- 1 gallon = 4 quarts
- 1 quart = 2 pints
- 1 pint = 2 cups
- 1 cup = 8 fluid ounces

So, the calculation for how many cups are in a gallon is:
\[
1 \text{ gallon} = 4 \text{ quarts} \times 2 \text{ pints/quart} \times 2 \text{ cups/pint} = 4 \times 2 \times 2 = 16 \text{ cups}
\]

2. **Determine the milk used per serving:**
The original recipe uses 22 cups of milk for 12 servings:
\[
\text{Milk per serving} = \frac{22 \text{ cups}}{12 \text{ servings}} \approx 1.8333 \text{ cups/serving}
\]

3. **Calculate how many servings can be made with 16 cups:**
Now, we want to find out how many servings can be made with 16 cups.
\[
\text{Number of servings} = \frac{16 \text{ cups}}{1.8333 \text{ cups/serving}} \approx 8.727
\]

Since you can't make a fraction of a serving, you can make **8 complete servings** from one gallon of milk.