Question

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

Answer 1

$812.5

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=
`\$ 500 - \$ 175= \$ 325`

∴ 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.

⇒
`x* (2)/(5) \geq \$ 325`

multiplying both side by 5

⇒
`x* 2\geq 325* 5`

divinding both side 2

⇒
`x\geq (1625)/(2)`

∴
`x\geq \$ 812.5`

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