Question

The price of a pair of shoes was reduced from $24 to $20. By what percentage was the price of the pair of shoes reduced? (enter your answer up to the tenths place- you do not need to round)

Answer 1

To find the percentage reduction in the price of the shoes, we can use the following formula:

\[
\text{Percentage reduction} = \left( \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \right) \times 100
\]

1. **Original Price**: $24
2. **New Price**: $20

Now we will calculate the difference between the original price and the new price:

\[
\text{Difference} = 24 - 20 = 4
\]

Next, we will substitute the values into the percentage reduction formula:

\[
\text{Percentage reduction} = \left( \frac{4}{24} \right) \times 100
\]

Calculating the fraction:

\[
\frac{4}{24} = \frac{1}{6} \approx 0.1667
\]

Now multiply by 100 to get the percentage:

\[
0.1667 \times 100 \approx 16.6667
\]

Thus, the percentage reduction in the price of the shoes is:

\[
\text{Percentage reduction} \approx 16.7
\]

Therefore, the price of the pair of shoes was reduced by **16.7%**.