a pari of shoes is on sale for 10% off the original price. If the sale price is $14.40, what was the original price of the item?
x = 16
The original amount was $16.00
To find the original price of the item, we need to determine the sale price after the 10% discount has been applied. Let's break down the steps to solve the problem:
1. Calculate the discount amount: Multiply the original price by the discount rate (10%).
Discount = Original Price * Discount Rate
In this case, the discount rate is 10% or 0.10. Let's denote the original price as "X":
Discount = X * 0.10
2. Subtract the discount amount from the original price to find the sale price:
Sale Price = Original Price - Discount Amount
Since we are given that the sale price is $14.40, we can substitute the values:
$14.40 = X - (X * 0.10)
3. Simplify the equation and solve for X:
$14.40 = X - 0.10X
$14.40 = 0.90X
Divide both sides of the equation by 0.90 to isolate X:
X = $14.40 / 0.90
4. Calculate the value of X to find the original price:
X = $16
Therefore, the original price of the shoes was $16.
.9 derives from the fact that you're paying 90/100 or 90% of the original price.
it's basically cross multiply. you want to find the original price (100). thus, the x in the denominator is across the 100
90/100=14.40/x
90x=1440
numerator of the left side multiply to the denominator of the right
=numerator of the right side multiply to the denominator of the left
0.9x = 14.4
x = ?