Sure, let's break down the problem step by step.
1. Convert all quantities to quarts:
- Orange juice: Since there are 3 gallons of orange juice and 1 gallon is equal to 4 quarts:
[tex]\[
3 \text{ gallons} \times 4 \text{ quarts/gallon} = 12 \text{ quarts}
\][/tex]
- Pineapple juice: There are 2 quarts of pineapple juice:
[tex]\[
2 \text{ quarts}
\][/tex]
- Cranberry juice: There are 4 pints of cranberry juice and 1 pint is equal to 0.5 quarts:
[tex]\[
4 \text{ pints} \times 0.5 \text{ quarts/pint} = 2 \text{ quarts}
\][/tex]
2. Sum all the volumes in quarts:
- Orange juice: 12 quarts
- Pineapple juice: 2 quarts
- Cranberry juice: 2 quarts
Total volume in quarts:
[tex]\[
12 \text{ quarts} + 2 \text{ quarts} + 2 \text{ quarts} = 16 \text{ quarts}
\][/tex]
So, the total amount of fruit punch Alex made is 16 quarts. Therefore, the correct answer is:
16.0
