To find out how many 4-ounce servings of punch Miriam can serve, we need to first convert the total amount of punch from gallons to ounces.
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Convert gallons to ounces:
- There are 128 ounces in a gallon.
- Miriam makes 2 1/4 gallons of punch.
- Convert 2 1/4 gallons to an improper fraction: \( 2 \frac{1}{4} = \frac{9}{4} \) gallons.
Now, we multiply by the number of ounces per gallon: \[ \frac{9}{4} , \text{gallons} \times 128 , \text{ounces/gallon} = \frac{9 \times 128}{4} = \frac{1152}{4} = 288 , \text{ounces}. \]
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Calculate the number of 4-ounce servings:
- To find the number of 4-ounce servings, divide the total ounces by the serving size: \[ \frac{288 , \text{ounces}}{4 , \text{ounces/serving}} = 72 , \text{servings}. \]
Therefore, Miriam can serve 72 servings of punch.
The correct answer is 72.