The volleyball team and the wrestling team at Stamford High School are having a joint car wash today,

and they are splitting the revenues. The volleyball team gets $5 per car. In addition, they have already

brought in $50 from past fundraisers. The wrestling team has raised $94 in the past, and they are

making $1 per car today. After washing a certain number of cars together, each team will have raised the

same amount in total. What will that total be? How many cars will that take?

PLEASE SHOW WORK THANK YOU

Answer:

Money raised by each team = 94 + 11 = $105

Number of cars washed = 11

Step-by-step explanation:

Money already present with volleyball team = $50

Money raised by washing each car by volleyball team = $5

Let the number of cars washed = [tex]x[/tex]

Money raised by washing cars = $5[tex]x[/tex]

Money already present with volleyball team = $94

Money raised by washing each car by volleyball team = $1

Money raised by washing cars = $1[tex]x[/tex] = $[tex]x[/tex]

Given that, both the teams have raised same amount of money:

[tex]50+5x=94+x\\\Rightarrow 44=4x\\\Rightarrow x=11[/tex]

Money raised by each team = 94 + 11 = $105

Number of cars washed = 11

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