At a sale,shirt were sold for $15 each.The price was 20percent reduced from the original price.What was the original price of the shirt?
solve for x
.8x = 15
Divide 15 by 8 to find your unknown which is x.
To find the original price of the shirt, we can use the formula:
Original Price = Sale Price / (1 - Discount Percentage)
In this case, the sale price is $15 and the discount percentage is 20%.
First, calculate the discount amount by multiplying the original price by the discount percentage (20% = 0.2):
Discount = Original Price * Discount Percentage
Next, subtract the discount amount from the original price to find the sale price:
Sale Price = Original Price - Discount
Since we know the sale price, we can set up the equation:
$15 = Original Price - Discount
Now, substitute the calculated values into the equation:
$15 = Original Price - (Original Price * 0.2)
Factor out the original price:
$15 = Original Price * (1 - 0.2)
Simplify the equation:
$15 = Original Price * 0.8
To isolate the original price, divide both sides of the equation by 0.8:
Original Price = $15 / 0.8
Calculating this gives:
Original Price = $18.75
Therefore, the original price of the shirt was $18.75.