Ethan needs to save at least $500 to purchase a new dirt bike. So far, he had saved $175. If he hopes to use two-fifths of his next paycheck to cover the amount, how much money must he make in his paycheck?

Answer:he must make $812.5 or more in his paycheck

Step-by-step explanation:

Let x represent the amount if money that Ethan must make on his next paycheck.

Ethan needs to save at least $500 to purchase a new dirt bike. So far, he had saved $175. If he hopes to use two-fifths of his next paycheck to cover the amount, then the equation becomes

175 + 2x/5 ≥ 500

2x/5 ≥ 500 - 175

2x/5 ≥ 325

2x ≥ 325 * 5

2x ≥ 1625

x ≥ 1625/2

x ≥ 812.5