Question

The volleyball team and the wrestling team at Weston High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets $4 per car. In addition, they have already brought in $9 from past fundraisers. The wrestling team has raised $101 in the past, and they are making $3 per car today. After washing a certain number of cars together, each team will have raised the same amount in total. How many cars will that take? What will that total be?

Answer 1

After washing 92 cars, both teams will have same amount.

The total will be $377.

Step-by-step explanation:

Given,

Amount raised in past by Volleyball team = $9

Revenue generated per car = $4

Let,

c be the number of cars.

T be be funds raised

T = 4c + 9      Eqn 1

Amount raised by Wrestling team = $101

Revenue generated per car = $3

T = 3c+101      Eqn 2

For same amount;

Eqn 1 = Eqn 2

$4c+9=3c+101\\4c-3c=101-9\\c=92$

After washing 92 cars, both teams will have same amount.

Putting c=92 in Eqn 1 and 2

$T=4(92)+9\\T=368+9\\T=377$

$T=3(92)+101\\T=276+101\\T=377$

The total will be $377.

Keywords: linear equation, equality

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