Questions: After a 80% reduction, you purchase a new washing machine on sale for 148. What was the original price of the washing machine? The original price was .

After a 80% reduction, you purchase a new washing machine on sale for 148. What was the original price of the washing machine?

The original price was .

Transcript text: After a $80 \%$ reduction, you purchase a new washing machine on sale for $\$ 148$. What was the original price of the washing machine? The original price was $\$ \square$.

Solution

Solution Steps

Step 1: Identify the Given Values

We are given the sale price of the washing machine and the discount percentage:

Sale price: $ \$148 $
Discount percentage: $ 80\% $

Step 2: Calculate the Sale Percentage

The sale price represents the remaining percentage of the original price after the discount. This can be calculated as: \[ \text{Sale Percentage} = 100\% - 80\% = 20\% \]

Step 3: Convert the Sale Percentage to a Decimal

Convert the sale percentage to a decimal for easier calculation: \[ \text{Sale Percentage (Decimal)} = \frac{20}{100} = 0.2 \]

Step 4: Set Up the Equation

The sale price is equal to the original price multiplied by the sale percentage (in decimal form): \[ 148 = \text{Original Price} \times 0.2 \]

Step 5: Solve for the Original Price

To find the original price, divide the sale price by the sale percentage (in decimal form): \[ \text{Original Price} = \frac{148}{0.2} = 740 \]