Marcia buys a dress that is on sale for 15% off its original price. She uses a store coupon to get an additional 10% off the sale price. She pays $91.80 for the dress. What was the original price?
120
To find the original price of the dress, we need to reverse the discount calculations. Let's break it down step by step:
1. Marcia initially gets a discount of 15% on the original price.
- This means she pays 100% - 15% = 85% of the original price.
2. She then uses a store coupon to get an additional 10% off the sale price.
- This means she pays 100% - 10% = 90% of the sale price.
3. Finally, the amount she actually paid, $91.80, is equal to 90% of the sale price.
- Let's represent the sale price as "x". So, 90% of x is equal to $91.80.
- Mathematically, we can write this equation: 0.9x = $91.80.
To find the original price, we need to find the value of "x" in the equation above. We can solve this equation using the following steps:
1. Divide both sides of the equation by 0.9:
- x = $91.80 / 0.9.
2. Calculate the value of x:
- x = $102.
Therefore, the original price of the dress was $102.
x-original price
(0.15x)0.10=91.80
solve for x :)