QuestionThe volleyball team and the wrestling team at Lakeside High School are having joint car wash today, and they are splitting the revenues. The volleyball team gets per car. In addition, they have already brought in from past fundraisers. The wrestling team has raised in the past, and they are makir per car today. After washing a certain number of cars together, each team have raised the same amount in total. How many cars will that take? What wil that total be?
After washing cars, both teams will have raised a total of \\square$ .
Studdy Solution
STEP 1
1. The volleyball team earns \$5 per car washed.
2. The volleyball team has already raised \$38 from past fundraisers.
3. The wrestling team earns \$2 per car washed.
4. The wrestling team has already raised \$80 from past fundraisers.
5. We need to find the number of cars washed such that both teams have raised the same total amount.
STEP 2
1. Define variables for the problem.
2. Write equations for the total amount raised by each team.
3. Set the equations equal to each other to find the number of cars.
4. Solve the equation to find the number of cars.
5. Calculate the total amount raised by each team after washing that number of cars.
STEP 3
Define variables for the problem.
Let be the number of cars washed.
STEP 4
Write equations for the total amount raised by each team.
The total amount raised by the volleyball team is given by:
The total amount raised by the wrestling team is given by:
STEP 5
Set the equations equal to each other to find the number of cars.
STEP 6
Solve the equation to find the number of cars.
Subtract from both sides:
Subtract 38 from both sides:
Divide both sides by 3:
STEP 7
Calculate the total amount raised by each team after washing that number of cars.
Substitute into the equation for the volleyball team:
Substitute into the equation for the wrestling team:
After washing cars, both teams will have raised a total of \$ \( \boxed{108} \).
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