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Melanie spent half of her allowance going to the movies. She washed the family car and earned nine dollars. What is her weekly allowance if she ended with eighteen dollars ? please help show work

Answer :

Melanie's weekly allowance is $18

Explanation:

let Melanie allowance = b

She spent half of it on movies = 1/2 × b = b/2

Amount left after removing movie cost = b - b/2

Then earned an additional $9 = (b - b/2) + 9

The total money Melanie has now = $18

b - b/2 + 9 = 18

[tex]\begin{gathered} \frac{b}{1}-\frac{b}{2}+9=18 \\ \frac{b}{1}-\frac{b}{2}=18-9 \\ \frac{2b-b}{2}=9 \end{gathered}[/tex][tex]\begin{gathered} \frac{b}{2}=\text{ 9} \\ b\text{ = 9(2)b } \\ b\text{ = 18} \end{gathered}[/tex]

Hence, Melanie's weekly allowance is $18

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