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Question
- 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?
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, \( 86\times0.375 = 32.25 \).
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The price was reduced by $32.25.