Tod paid $81.22 for a pair of shoes during a 30% off sale. What was the original price of the shoes?
100 - 30 = 70
0.7x = 81.22
x = ?
Thank you Ms. Sue
x=116.03
You're welcome. And, of course, your answer is right.
To find the original price of the shoes, we need to work backward from the sale price.
First, let's find out what the sale price is. We know that Tod paid $81.22 for the shoes with a 30% discount. To calculate the sale price, we can use the formula:
Sale price = Original price - (Discount percent * Original price)
In this case, the discount percent is 30%, which can be written as 0.30 in decimal form. Let's substitute the known values into the formula:
$81.22 = Original price - (0.30 * Original price)
Now, simplify the equation:
$81.22 = Original price - 0.30 * Original price
$81.22 = Original price * (1 - 0.30)
Combine like terms:
$81.22 = Original price * 0.70
Now, divide both sides of the equation by 0.70 to isolate the original price:
Original price = $81.22 / 0.70
Calculating this, we find:
Original price = $116.03
Therefore, the original price of the shoes was $116.03.