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 two containers? Show/Explain your steps for solving this problem.

1 answer

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

  1. Calculate the total amount of ice cream: Each container contains 12 cups of ice cream, and there are 2 containers. \[ \text{Total cups of ice cream} = 2 \text{ containers} \times 12 \text{ cups/container} = 24 \text{ cups} \]

  2. Determine the size of each serving: Each serving is 3/4 cup.

  3. Calculate the number of servings: To find the number of serving sizes (3/4 cups) that can be obtained from the total amount (24 cups), we divide the total amount of ice cream (in cups) by the size of each serving (in cups): \[ \text{Number of servings} = \frac{\text{Total cups of ice cream}}{\text{Size of each serving}} = \frac{24 \text{ cups}}{3/4 \text{ cup}} \]

  4. Perform the division of a whole by a fraction: Dividing by a fraction is the same as multiplying by its reciprocal. Therefore: \[ \frac{24 \text{ cups}}{3/4 \text{ cup}} = 24 \times \frac{4}{3} = \frac{24 \times 4}{3} = \frac{96}{3} = 32 \]

Thus, the ice cream shop can serve a total of 32 servings of 3/4 cup ice cream from the two containers.