Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

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Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

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Answer 1 · 2016-01-14T20:25:07

Weekly allowance = $16

Explanation:

Let's use variable $a$ $a$ for her allowance.

She spent half of it on mini-golf,
$\frac{a}{2}$ $a/2$
and earned $4 from her parents,
$\frac{a}{2} + 4$ $a/2 +4$
and ended the week with $12, so
$\frac{a}{2} + 4 = 12$ $a/2 +4 = 12$

Solve for $a$ $a$ by isolating it, and you'll have your answer.

Move the $+ 4$ $+4$ over by subtracting $4$ $4$ from both sides:
$\frac{a}{2} + 4 - 4 = 12 - 4$ $a/2 +4 -4 = 12 -4$

$+ 4 - 4$ $+4-4$ cancels out, so you should have $\frac{a}{2} = 8$ $a/2=8$

Now, to get rid of the denominator $2$ $2$ , multiply both sides by $2$ $2$ .
$2 \cdot \frac{a}{2} = 8 \cdot 2$ $2*a/2=8*2$

$2$ $2$ times the denominator of $2$ $2$ cancels out, and you're left with your answer:
$a = 16$ $a=16$

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Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

1 Answer

Explanation:

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