Question

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 1

Melanie's weekly allowance is $18

Step-by-step 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

`\begin{gathered} (b)/(1)-(b)/(2)+9=18 \\ (b)/(1)-(b)/(2)=18-9 \\ (2b-b)/(2)=9 \end{gathered}`
`\begin{gathered} (b)/(2)=\text{ 9} \\ b\text{ = 9(2)b } \\ b\text{ = 18} \end{gathered}`

Hence, Melanie's weekly allowance is $18