Question

How many cases do you need if you have to pack 148 pairs of shoes into cases that each holds 37 shoes?

Hint:

Pay close attention to units in word problems. The question mentions "pairs of shoes," but the case capacity is in "shoes." Always convert to a consistent unit before performing calculations.

Answer 1

Step 1: Understanding the Question:
The problem requires us to calculate the total number of cases needed to pack a specific quantity of shoes, where each case has a fixed capacity. It's important to distinguish between "pairs of shoes" and "individual shoes."
Step 2: Key Formula or Approach:
1. Calculate the total number of individual shoes.
2. Divide the total number of shoes by the number of shoes each case can hold.
\[ \text{Number of Cases} = \frac{\text{Total Number of Individual Shoes}}{\text{Shoes per Case}} \] Step 3: Detailed Explanation:
First, we find the total number of individual shoes.
Number of pairs = 148.
Since 1 pair = 2 shoes, the total number of shoes is:
\[ \text{Total Shoes} = 148 \times 2 = 296 \text{ shoes} \] Next, we know that each case holds 37 shoes. To find the number of cases required, we divide the total number of shoes by the capacity of one case.
\[ \text{Number of Cases} = \frac{296}{37} \] \[ \text{Number of Cases} = 8 \] Step 4: Final Answer:
You will need 8 cases to pack all the shoes.