Question

1. 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?

Explanation:

Step1: Convert percentage to decimal

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

Step2: Calculate the reduction amount

The original price is $86, and we need to find 37.5% of 86. We use the formula: \( \text{Reduction Amount} = \text{Original Price} \times \text{Percentage as Decimal} \). So we calculate \( 86\times0.375 \).
First, we can write 86 as \( \frac{86}{1} \) and 0.375 as \( \frac{3}{8} \) (since \( 0.375=\frac{375}{1000}=\frac{3}{8} \)). Then \( 86\times\frac{3}{8}=\frac{258}{8} = 32.25 \).

Answer:

The price was reduced by $32.25.