Angela earns a weekly allowance at the start of each week. She started the week with just her weekly allowance. Then, she spent half of her weekly allowance at the movies. To earn more money, her parents let her clean the windows in the house for $5. What is her weekly allowance if she ended the week with $8? Solve using arithmetic or algebra, and explain your steps. (3 points)

1 answer

Let's assume that Angela's weekly allowance is x dollars.
After spending half of her weekly allowance at the movies, she has x/2 dollars left.
She then earns an additional 5 dollars cleaning the windows.
Therefore, she now has x/2 + 5 dollars.
According to the problem, she ended the week with 8 dollars.
So, we have the equation x/2 + 5 = 8.
Subtracting 5 from both sides of the equation, we get x/2 = 3.
Multiplying both sides of the equation by 2, we get x = 6.
Therefore, Angela's weekly allowance is 6 dollars.