Mathematics: daniel spent half of his paycheck on video games. to earn more money, he did chores at home and received $20. how much was his paycheck if he ended up with $56

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daniel spent half of his paycheck on video games.

monsurviky

01.02.2022

His paycheck was $72.

Step-by-step explanation:

Let x = paycheck amount.

Given, Amount spent on video games = $\dfrac x2$

Amount he has left of it = $x-\dfrac x 2=\dfrac x 2$

Amount received = $20

Total amount amount he has left = $\dfrac x 2 +20$

According to the question,

$\dfrac x 2 +20 = 56\\\\\Rightarrow\ \dfrac x 2= 36\\\\\Rightarrow\ x= 2\times 36=72$

∴ His paycheck was $72.

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