8. the original price of a jacket was $86. a store manager marked the price down by 37.5%. by how much was…

8. the original price of a jacket was $86. a store manager marked the price down by 37.5%. by how much was the price reduced?

8. the original price of a jacket was $86. a store manager marked the price down by 37.5%. by how much was the price reduced?

Answer

Explanation:

Step1: Convert percentage to decimal

To find the amount of price reduction, we first convert the percentage 37.5% to a decimal. We do this by dividing the percentage by 100, so ( 37.5% = \frac{37.5}{100}=0.375 ).

Step2: Calculate the price reduction

The original price of the jacket is $86. To find the amount the price was reduced, we multiply the original price by the decimal we found in Step 1. So the reduction amount is ( 86\times0.375 ). Calculating this, ( 86\times0.375 = 32.25 ).

Answer:

The price was reduced by $32.25.