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)
B
0 / 10000 Word Limit
Let's assume Angela's weekly allowance is $x.
At the start of the week, Angela had x dollars.
She spent half of her weekly allowance at the movies, so she spent (1/2)x dollars.
To earn more money, she cleaned the windows for $5.
Therefore, her total earnings for the week would be x - (1/2)x + 5.
We know that she ended the week with $8.
So, we can set up the equation: x - (1/2)x + 5 = 8.
To solve this equation, we can simplify it.
Combining like terms, we have: (1/2)x + 5 = 8.
Subtracting 5 from both sides of the equation, we get: (1/2)x = 3.
To solve for x, we can multiply both sides of the equation by 2, which gives us: x = 6.
Therefore, Angela's weekly allowance is $6.
Jack won 65 lollipops playing basketball at the county fair. At school he gave four to every student in his math class. He only has 1 remaining. How many students are in his class? (1 point)
17
© 4
© 16
15
Let's assume that the number of students in Jack's math class is "x".
If Jack gave four lollipops to each student in his math class, the total number of lollipops given out would be 4x.
We know that Jack won a total of 65 lollipops and has 1 remaining, so the equation can be set up as follows: 4x + 1 = 65.
Subtracting 1 from both sides of the equation, we have: 4x = 64.
Dividing both sides of the equation by 4, we get: x = 16.
Therefore, there are 16 students in Jack's math class.
To solve this problem using arithmetic, we can set up an equation to represent the situation.
Let's represent Angela's weekly allowance as "x".
According to the given information, Angela spent half of her weekly allowance at the movies. This means she spent (1/2) * x at the movies.
To earn more money, Angela cleaned the windows in the house for $5, which we can add to the amount she has after spending money at the movies.
So, Angela has (1/2) * x + $5 at the end of the week.
It is mentioned that she ended the week with $8, so we can set up the equation:
(1/2) * x + $5 = $8
To find the value of x, we need to isolate it on one side of the equation.
First, we can subtract $5 from both sides of the equation:
(1/2) * x = $8 - $5
Simplifying, we have:
(1/2) * x = $3
To get rid of the fraction, we can multiply both sides of the equation by 2:
2 * (1/2) * x = 2 * $3
Simplifying, we have:
x = $6
Therefore, Angela's weekly allowance is $6.