Respuesta :
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= [tex]\$ 500 - \$ 175= \$ 325[/tex]
∴ 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.
⇒ [tex]x\times \frac{2}{5} \geq \$ 325[/tex]
multiplying both side by 5
⇒ [tex]x\times 2\geq 325\times 5[/tex]
divinding both side 2
⇒ [tex]x\geq \frac{1625}{2}[/tex]
∴ [tex]x\geq \$ 812.5[/tex]
Hence, Ethan must make at least $812.5 in his paycheck to cover his remaining anount to buy dirt bike.
