Question

You have $575 to spend on clothes for the school year. You want to by 8 pairs of pants that cost $352.45 including tax and hoodies that will have a 8.7 % sales tax. What is the inequality that represents the amount of money you have to spend?

Answer 1

352.45 + 1.087x ≤ 575

Explanation:

The most you can spend is $575, so the total you spend must be ≤ 575.

You already have a total for the pants of $352.45.

352.45 + price of hoodies ≤ 575

Let x = total price of the hoodies before tax.

The price of the hoodies with tax is

x + 8.7% of x = x + 0.087x = 1.087x

The inequality is

352.45 + 1.087x ≤ 575