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The volleyball team and the wrestling team at Stafford High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets $\$2$ per car. In addition, they have already brought in $\$30$ from past fundraisers. The wrestling team has raised $\$35$ 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? $\newline$ Write a system of equations, graph them, and type the solution. $\newline$ ____ dollars

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Evaluate two-variable equations: word problems

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Q. The volleyball team and the wrestling team at Stafford High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets

\$2

per car. In addition, they have already brought in

\$30

from past fundraisers. The wrestling team has raised

\$35

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?

\newline

Write a system of equations, graph them, and type the solution.

\newline

____ dollars

Define total money raised: Let's define the total money raised by each team. Let $x$ be the number of cars washed. The volleyball team's equation for total money raised is: $2x + 30$ . The wrestling team's equation is: $x + 35$ .
Set equations equal: Set the equations equal to find the number of cars washed when both teams have raised the same amount: $2x + 30 = x + 35$ .
Solve for x: Solve for x: Subtract $x$ from both sides to get $x + 30 = 35$ . Then, subtract $30$ from both sides to get $x = 5$ .

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