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.