The soccer team collected $1000 at a car wash fundraiser. They charged $5 for small vehicles and $10 for larger vehicles. If x represents the number of small cars and y represents the number of large cars, the amount collected cal be modeled by the equation:

Question

Response areax+
Response areay=
Response area.

If the soccer team washed 75 large vehicles, that means they had to wash Response area small vehicles to meet their $1000 total.

Answer 1

We can set up the equation based on the information given.

Let:

• \( x \) = the number of small cars washed (charged $5 each)
• \( y \) = the number of large cars washed (charged $10 each)

The total amount collected can be modeled by the equation:

\[ 5x + 10y = 1000 \]

Now, if the soccer team washed 75 large vehicles, we can substitute \( y = 75 \) into the equation:

\[ 5x + 10(75) = 1000 \]

Calculating \( 10 \times 75 \):

\[ 10 \times 75 = 750 \]

Now, we can substitute that back into the equation:

\[ 5x + 750 = 1000 \]

Next, we isolate \( x \):

\[ 5x = 1000 - 750 \] \[ 5x = 250 \]

Now, solve for \( x \):

\[ x = \frac{250}{5} = 50 \]

Thus, the soccer team washed 50 small vehicles to meet their $1000 total. The full response is:

The equation is \( 5x + 10y = 1000 \) and they washed 50 small vehicles.