Question

Part 1
Directions: Use the information in the charts to answer the questions. Show your
work and include equations to show how you solved each problem. Refer to the unit
glossary terms to remind yourself of the measurement conversions.
Beverages
at the Store
2 pints of
milk
2 quarts of
orange juice
16 cups of
chocolate
milk
32 ounces of
lemonade
1. Julius is buying beverages for brunch. He needs to buy a total of 5
gallons of beverages. He decides to buy two containers of each
beverage. How many gallons of beverages did he buy?

Answer 1

To determine how many gallons of beverages Julius bought, we first need to convert the quantities of each type of beverage he is considering buying into gallons.

### Step 1: Understand the conversions relevant to the problem
- 1 gallon = 4 quarts
- 1 gallon = 8 pints
- 1 gallon = 16 cups
- 1 gallon = 128 ounces

### Step 2: Calculate the volume of each type of beverage in gallons when buying two containers

1. **Milk**
- Each container: 2 pints
- Total for 2 containers: 2 pints * 2 = 4 pints
- Convert pints to gallons:
\[
\text{Gallons from milk} = \frac{4 \text{ pints}}{8 \text{ pints/gallon}} = 0.5 \text{ gallons}
\]

2. **Orange Juice**
- Each container: 2 quarts
- Total for 2 containers: 2 quarts * 2 = 4 quarts
- Convert quarts to gallons:
\[
\text{Gallons from orange juice} = \frac{4 \text{ quarts}}{4 \text{ quarts/gallon}} = 1 \text{ gallon}
\]

3. **Chocolate Milk**
- Each container: 16 cups
- Total for 2 containers: 16 cups * 2 = 32 cups
- Convert cups to gallons:
\[
\text{Gallons from chocolate milk} = \frac{32 \text{ cups}}{16 \text{ cups/gallon}} = 2 \text{ gallons}
\]

4. **Lemonade**
- Each container: 32 ounces
- Total for 2 containers: 32 ounces * 2 = 64 ounces
- Convert ounces to gallons:
\[
\text{Gallons from lemonade} = \frac{64 \text{ ounces}}{128 \text{ ounces/gallon}} = 0.5 \text{ gallons}
\]

### Step 3: Add all the gallons together
Now, we will sum the gallons from each type of beverage:

\[
\text{Total gallons} = \text{Gallons from milk} + \text{Gallons from orange juice} + \text{Gallons from chocolate milk} + \text{Gallons from lemonade}
\]

Substituting in the calculated values:

\[
\text{Total gallons} = 0.5 + 1 + 2 + 0.5 = 4 \text{ gallons}
\]

### Conclusion
Julius bought a total of **4 gallons of beverages**.