Question

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5 x plus 10 y equals 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

55
60
130
150

Answer 1

To find the number of small vehicles washed, we start with the equation that models the total amount collected:

\[
5x + 10y = 800
\]

where \(x\) is the number of small vehicles and \(y\) is the number of larger vehicles.

We are given that the number of larger vehicles washed (\(y\)) is 50. We can substitute \(y = 50\) into the equation:

\[
5x + 10(50) = 800
\]

Now, calculate \(10 \times 50\):

\[
5x + 500 = 800
\]

Next, we solve for \(5x\) by subtracting 500 from both sides:

\[
5x = 800 - 500
\]
\[
5x = 300
\]

Now, divide both sides by 5 to solve for \(x\):

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

Thus, the total number of small vehicles washed is \( \boxed{60} \).