Let's solve this problem using algebra.
Let x be Angela's weekly allowance.
Angela spent half of her weekly allowance at the movies, so she spent (1/2)x.
She earned $5 by cleaning the windows.
At the end of the week, she had $8, so the equation is:
x - (1/2)x + 5 = 8
To simplify the equation, we combine like terms:
(1/2)x + 5 = 8
Subtract 5 from both sides of the equation:
(1/2)x = 3
To isolate x, we multiply both sides of the equation by 2:
x = 6
Therefore, Angela's weekly allowance is $6.
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)
3 answers
make it shouter but explain
Let x be Angela's weekly allowance.
Angela spent half of her weekly allowance at the movies, so she spent (1/2)x.
She earned $5 by cleaning the windows.
At the end of the week, she had $8, so the equation is:
x - (1/2)x + 5 = 8
Simplifying the equation, we combine like terms:
(1/2)x + 5 = 8
Subtracting 5 from both sides:
(1/2)x = 3
To isolate x, we multiply both sides by 2:
x = 6
Therefore, Angela's weekly allowance is $6.
Angela spent half of her weekly allowance at the movies, so she spent (1/2)x.
She earned $5 by cleaning the windows.
At the end of the week, she had $8, so the equation is:
x - (1/2)x + 5 = 8
Simplifying the equation, we combine like terms:
(1/2)x + 5 = 8
Subtracting 5 from both sides:
(1/2)x = 3
To isolate x, we multiply both sides by 2:
x = 6
Therefore, Angela's weekly allowance is $6.
1 answer