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Oksi-84 [34.3K]
3 years ago
10

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 n

ext paycheck to cover the remaining amount, how much money must he make in his paycheck
Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

Answer:

$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= \$ 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\times \frac{2}{5} \geq \$ 325

multiplying both side by 5

⇒ x\times 2\geq 325\times 5

divinding both side 2

⇒ x\geq \frac{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.

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