Question

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.
1. Determine the total amount of ice cream
Each container contains 12 cups of ice cream, and there are 2 containers.

2 x 12 = 24

2. Calculate the number of servings

Each serving of ice cream is 3/4 cup. To determine how many 3/4 cup servings can be obtained from the total amount of ice cream (24 cups), we can divide the total cups of ice cream by the size of each serving.

To calculate this, we need to divide:

Number of servings = Total ice cream
Size of each serving =cups 3/4

3. Dividing by a fraction
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 3/4 is 4/3

4. Perform the multiplication

24 x 4/3 = 24 x 4/3 = 96/3 = 32

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

1 answer

Your solution is correct! Let’s break it down clearly step by step:

  1. Determine the total amount of ice cream:

    • Each container contains 12 cups of ice cream.
    • There are 2 containers.
    • Calculation: \( 2 \times 12 = 24 \) cups of ice cream in total.
  2. Calculate the number of servings:

    • Each serving size is \( \frac{3}{4} \) cup.
    • To find out how many servings can be made from 24 cups, we divide the total amount of ice cream by the size of each serving:
    • Calculation: \[ \text{Number of servings} = \frac{\text{Total ice cream}}{\text{Size of each serving}} = \frac{24}{\frac{3}{4}} \]
  3. Dividing by a fraction:

    • Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).
    • Therefore, \[ \frac{24}{\frac{3}{4}} = 24 \times \frac{4}{3} \]
  4. Perform the multiplication:

    • Carry out 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 2 containers of ice cream is 32 servings.

Great job! Your calculations are accurate and thorough.