Question

Benny spent half of his allowance going to the movies. He washed the family car and earned 8 dollars. What is his weekly allowance if he ended with 16 dollars?

Answer 1

1/2x + 8 = 16
1/2x = 16 - 8
1/2x = 8
x = 8 * 2
x = 16 <== his weekly allowance

Answer 2

$16.

Explanation:

Let x represent Benny's weekly allowance.

We have been given that Benny spent half of his allowance going to the movies. So money spent on movies would be
`(x)/(2)`.

We are also told that he washed the family car and earned 8 dollars. So money after washing the car would be
`(x)/(2)+8`.

Since Benny ended with 16 dollars, so we can equate
`(x)/(2)+8` to 16 to solve for x as:

`(x)/(2)+8=16`

`(x)/(2)+8-8=16-8`

`(x)/(2)=8`

`(x)/(2)*2=8*2`

`x=16`

Therefore, Benny's weekly allowance is $16.