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)
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.
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.
To solve this problem, let's use algebra.
Let's represent Angela's weekly allowance as "x" dollars.
According to the given information, Angela spent half of her weekly allowance at the movies, which means she spent (1/2)*x dollars.
After that, Angela earned an additional $5 by cleaning the windows in the house.
Therefore, her total expenses were (1/2)*x dollars, and her total earnings were $5.
We can write an equation to represent the situation: x - (1/2)*x + 5 = 8.
Now, let's solve this equation step by step:
1. Simplify the equation: (1/2)*x + 5 = 8.
2. Subtract 5 from both sides of the equation: (1/2)*x = 3.
3. Multiply both sides of the equation by 2 to eliminate the fraction: x = 6.
So, Angela's weekly allowance is $6.
To solve this problem, we can use algebra and create an equation to represent the situation. Let's call Angela's weekly allowance "A."
According to the information given, Angela started the week with her weekly allowance "A." She then spent half of her weekly allowance at the movies, which would be "A/2". After that, her parents let her clean the windows in the house for $5. So, her total earnings from cleaning the windows would be "5."
Finally, at the end of the week, Angela had $8. With this information, we can set up the equation:
A - (A/2) + 5 = 8
Simplifying the equation, we get:
(2A - A + 10) / 2 = 8
Combining like terms, we have:
(A + 10) / 2 = 8
Multiplying both sides of the equation by 2, we get:
A + 10 = 16
Subtracting 10 from both sides, we have:
A = 6
Therefore, Angela's weekly allowance is $6.