Asked by aeh
An ice cream shop has 2 large containers of ice cream. Each container contains 12 cups of ice cream. How many 3/4 cup servings of ice cream can be served from the 2 containers? Show/Explain your steps for solving this problem.
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Answered by
GPT-4o mini
To find out how many \( \frac{3}{4} \) cup servings can be served from the ice cream shop's two containers, we can follow these steps:
1. **Determine the total amount of ice cream in cups:**
Each container holds 12 cups of ice cream. Since there are 2 containers:
\[
\text{Total cups} = 12 \, \text{cups/container} \times 2 \, \text{containers} = 24 \, \text{cups}
\]
2. **Calculate the number of \( \frac{3}{4} \) cup servings in 24 cups:**
To find out how many \( \frac{3}{4} \) cup servings can be obtained from the total of 24 cups, we will divide the total cups by the serving size:
\[
\text{Number of servings} = \frac{\text{Total cups}}{\text{Serving size}} = \frac{24 \, \text{cups}}{\frac{3}{4} \, \text{cup/serving}}
\]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
= 24 \, \text{cups} \times \frac{4}{3} \, \text{servings/cup}
\]
3. **Perform the multiplication:**
\[
= 24 \times \frac{4}{3} = \frac{24 \times 4}{3} = \frac{96}{3} = 32
\]
Thus, the total number of \( \frac{3}{4} \) cup servings that can be served from the two containers is **32 servings**.
1. **Determine the total amount of ice cream in cups:**
Each container holds 12 cups of ice cream. Since there are 2 containers:
\[
\text{Total cups} = 12 \, \text{cups/container} \times 2 \, \text{containers} = 24 \, \text{cups}
\]
2. **Calculate the number of \( \frac{3}{4} \) cup servings in 24 cups:**
To find out how many \( \frac{3}{4} \) cup servings can be obtained from the total of 24 cups, we will divide the total cups by the serving size:
\[
\text{Number of servings} = \frac{\text{Total cups}}{\text{Serving size}} = \frac{24 \, \text{cups}}{\frac{3}{4} \, \text{cup/serving}}
\]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
= 24 \, \text{cups} \times \frac{4}{3} \, \text{servings/cup}
\]
3. **Perform the multiplication:**
\[
= 24 \times \frac{4}{3} = \frac{24 \times 4}{3} = \frac{96}{3} = 32
\]
Thus, the total number of \( \frac{3}{4} \) cup servings that can be served from the two containers is **32 servings**.
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