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

$812.5

Step-by-step explanation:

Given: Ethan need to save at least $500.

          He has saved so far $175

          Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.

Lets assume Ethan´s paycheck amount be "x"

First finding the remaining amount to be covered.

Remaining amount=

∴ The remaining amount to be covered is $325.

As given, Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.

Now, using the inequality to find the amount of paycheck.

⇒

multiplying both side by 5

⇒

divinding both side 2

⇒

∴

Hence, Ethan must make at least $812.5 in his paycheck to cover his remaining anount to buy dirt bike.