Answer:
$16.
Step-by-step 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 [tex]\frac{x}{2}[/tex].
We are also told that he washed the family car and earned 8 dollars. So money after washing the car would be [tex]\frac{x}{2}+8[/tex].
Since Benny ended with 16 dollars, so we can equate [tex]\frac{x}{2}+8[/tex] to 16 to solve for x as:
[tex]\frac{x}{2}+8=16[/tex]
[tex]\frac{x}{2}+8-8=16-8[/tex]
[tex]\frac{x}{2}=8[/tex]
[tex]\frac{x}{2}*2=8*2[/tex]
[tex]x=16[/tex]
Therefore, Benny's weekly allowance is $16.
