Question

A recipe uses 2 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=4 quarts

1 quart=2 pints

1 pint=2 cups

1 cup=8 fluid ounces

Answer 1

First, let's convert one gallon to cups. We know the following conversions:

1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces

Now, let's convert gallons to cups step by step:

1. Convert gallons to quarts:
\[
1 \text{ gallon} = 4 \text{ quarts}
\]

2. Convert quarts to pints:
\[
4 \text{ quarts} = 4 \text{ quarts} \times 2 \text{ pints/quart} = 8 \text{ pints}
\]

3. Convert pints to cups:
\[
8 \text{ pints} = 8 \text{ pints} \times 2 \text{ cups/pint} = 16 \text{ cups}
\]

So, 1 gallon is equal to 16 cups.

Next, we know that 2 cups of milk make 12 servings. Now, let's determine how much milk is used per serving:

\[
\text{Milk per serving} = \frac{2 \text{ cups}}{12 \text{ servings}} = \frac{1 \text{ cup}}{6 \text{ servings}}
\]

Now we will find out how many servings can be made from 16 cups of milk. Since each serving requires \(\frac{1}{6}\) of a cup, the total number of servings that can be made with 16 cups can be calculated as follows:

\[
\text{Total servings} = 16 \text{ cups} \times 6 \text{ servings/cup}
\]
\[
\text{Total servings} = 96 \text{ servings}
\]

Thus, you can make **96 servings** from one gallon of milk.