Susan had a $10 coupon for the purchase of any item. She bought a coat that was on sale for half its original price. After using the coupon, Susan paid $125 for the coat before taxes. What was the original price of the coat?
2 * 125 + 10 = ?
125=-10x+1/2
Let's assume the original price of the coat is x dollars.
Since the coat was on sale for half its original price, the sale price would be (1/2)x dollars.
Susan then used her $10 coupon, which reduced the price further.
So, the final price Susan paid after using the coupon is (1/2)x - $10.
According to the given information, Susan paid $125 for the coat before taxes.
Therefore, we can set up an equation as follows:
(1/2)x - $10 = $125
Let's solve this equation to find the value of x.
To find the original price of the coat, we can work backward from the final amount Susan paid. Here's how we can break down the problem:
1. Let's assume the original price of the coat was "x" dollars.
2. Since the coat was on sale for half its original price, Susan paid 1/2 * x = x/2 dollars for the coat.
3. Susan also used a coupon worth $10, so her final payment was (x/2) - 10 dollars.
4. According to the given information, Susan paid a total of $125 before taxes, so we can write the equation:
(x/2) - 10 = 125
To solve for x, we can start by isolating the variable by moving the constant term (-10) to the other side of the equation:
1. (x/2) - 10 + 10 = 125 + 10
2. (x/2) = 135
Next, we can eliminate the fraction by multiplying both sides of the equation by 2:
3. 2 * (x/2) = 2 * 135
4. x = 270
Therefore, the original price of the coat was $270.