How many cases do you need if you have to pack 116 pairs of shoes into cases such that each hold 58 shoes?

Options

A. 4
B. 7
C. 5
D. 6

Answer

To solve the problem of how many cases are needed to pack 116 pairs of shoes, with each case holding 58 shoes, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to pack 116 pairs of shoes into cases, where each case holds 58 shoes.

2. **Convert Pairs to Shoes**: Since each pair consists of 2 shoes, we first convert the number of pairs into the total number of shoes:
\[ \text{Total Shoes} = \text{Number of Pairs} \times 2 = 116 \times 2 = 232 \text{ shoes} \]

3. **Determine Shoes per Case**: Each case can hold 58 shoes.

4. **Calculate the Number of Cases Needed**: To find out how many cases are required, we divide the total number of shoes by the number of shoes each case can hold:
\[ \text{Number of Cases} = \frac{\text{Total Shoes}}{\text{Shoes per Case}} = \frac{232}{58} \]

5. **Perform the Division**:
\[ 232 \div 58 = 4 \]
This means we need 4 cases to pack all the shoes.

6. **Final Answer**: Therefore, the number of cases needed is 4.