Question

The soccer team collected $500 at a car wash fundraiser. They charged $5 for small vehicles and $10 for large vehicles. If x represents the number of small cars and y represents the number of large cars, the amount collected can be modeled by the equation:

Response area
Response area
Response area

If the soccer team washed 20 large vehicles, that means they had to wash Response area small vehicles to meet their $500 goal.

Answer 1

To create the equation that models the amount collected from washing vehicles, we can represent the total amount collected as follows:

\[
5x + 10y = 500
\]

where:
- \( x \) is the number of small vehicles (charged $5 each)
- \( y \) is the number of large vehicles (charged $10 each)

Given that the soccer team washed 20 large vehicles (where \( y = 20 \)), we can substitute \( y \) in the equation:

\[
5x + 10(20) = 500
\]

Calculating the amount collected from large vehicles:

\[
10(20) = 200
\]

So the equation becomes:

\[
5x + 200 = 500
\]

Next, we can isolate \( x \) by subtracting 200 from both sides:

\[
5x = 500 - 200
\]
\[
5x = 300
\]

Now, divide both sides by 5:

\[
x = \frac{300}{5} = 60
\]

Therefore, the soccer team washed **60 small vehicles** to meet their $500 goal.

Summarizing, the soccer team had to wash **60** small vehicles.