Question

You buy a shirt for 29$ and a jacket there is a 10% discount the jacket and shirt cost 80.10 together after the discont how much does the jacket alone cost before the discont?

Answer 1

The original price of the jacket before the 10% discount is calculated by first writing the equation 29 + x - 0.10x = 80.10. After simplifying and solving for x, the price is determined to be $56.78.

Step-by-step explanation:

Calculating the original cost of the jacket requires setting up an equation based on the given information. Since the shirt costs $29 and there is a combined cost of $80.10 after the discount, we can label the jacket's original price as 'x'.

The jacket has a 10% discount, which we can express as 0.10x. Thus, the equation will be: 29 + x - 0.10x = 80.10. Simplifying the equation gives: 29 + 0.90x = 80.10, and by solving for x we get the original price of the jacket before the discount.

0.90x = 80.10 - 29
x = (80.10 - 29) / 0.90
x = 51.10 / 0.90
x = $56.78

Therefore, the jacket originally cost $56.78 before the discount.