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. (fractions)

1 answer

To determine how many 3/4 cup servings of ice cream can be made from the two containers, we can follow these steps:

  1. Calculate the total amount of ice cream in cups: Each container has 12 cups of ice cream, and there are 2 containers. \[ \text{Total Ice Cream} = \text{Number of Containers} \times \text{Cups per Container} = 2 \times 12 = 24 \text{ cups} \]

  2. Determine how many servings of 3/4 cup can be made from 24 cups: To find out how many servings of 3/4 cup can be obtained from 24 cups, we divide the total cups of ice cream by the size of each serving. \[ \text{Number of Servings} = \frac{\text{Total Ice Cream}}{\text{Size of Each Serving}} = \frac{24 \text{ cups}}{\frac{3}{4} \text{ cup}} \]

    To divide by a fraction, we multiply by its reciprocal: \[ \text{Number of Servings} = 24 \text{ cups} \times \frac{4}{3} \]

  3. Perform the multiplication: Calculate \( 24 \times \frac{4}{3} \): \[ 24 \times \frac{4}{3} = \frac{24 \times 4}{3} = \frac{96}{3} = 32 \]

Thus, the total number of 3/4 cup servings that can be served from the 2 containers of ice cream is 32 servings.