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 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.
Let's solve this problem step by step.
Step 1: Let the weekly allowance be represented by the variable "A".
So, Angela started the week with A dollars.
Step 2: Angela spent half of her weekly allowance at the movies, which means she spent A/2 dollars.
Therefore, after spending money at the movies, Angela had A - A/2 dollars left.
Step 3: Angela earned $5 by cleaning the windows.
So, her current balance after earning money is (A - A/2) + $5.
Step 4: Angela ended the week with $8, which means her current balance is equal to $8.
Therefore, we can write the equation: (A - A/2) + $5 = $8.
Step 5: Now, let's solve the equation to find the value of A.
First, we can simplify the equation: (A/2) + $5 = $8.
Step 6: Subtract $5 from both sides of the equation: (A/2) = $8 - $5 = $3.
Step 7: Multiply both sides of the equation by 2 to isolate A: 2 * (A/2) = 2 * $3.
This simplifies to: A = $6.
Therefore, Angela's weekly allowance is $6.
To solve this problem, let's define a variable for Angela's weekly allowance. Let's call it "x".
According to the problem, Angela starts the week with her weekly allowance, so her initial amount of money is x.
Then, she spends half of her weekly allowance at the movies, which is x/2. This means she has x/2 dollars left.
To earn more money, Angela cleaned the windows in the house for $5. So, her current amount of money is x/2 + 5.
Finally, we are given that Angela ended the week with $8. So, we can set up an equation:
x/2 + 5 = 8
To solve this equation, we can first subtract 5 from both sides:
x/2 = 8 - 5
x/2 = 3
To isolate x, we can multiply both sides of the equation by 2:
2 * (x/2) = 2 * 3
x = 6
Therefore, Angela's weekly allowance is $6.