A shoe factory inspects all of its shoes before shipping. It rejects 3 out of every 200 pairs of shoes as defective. What percentage of shoes are rejected

Answer 1

To find the percentage of shoes that are rejected, you can use the following formula:

\[ \text{Percentage rejected} = \left( \frac{\text{Number of rejected pairs}}{\text{Total number of pairs}} \right) \times 100 \]

In this case, the number of rejected pairs is 3 and the total number of pairs is 200. Plugging these values into the formula gives:

\[ \text{Percentage rejected} = \left( \frac{3}{200} \right) \times 100 \]

Now, calculate the fraction:

\[ \frac{3}{200} = 0.015 \]

Now multiply by 100 to get the percentage:

\[ 0.015 \times 100 = 1.5% \]

Therefore, 1.5% of the shoes are rejected.