Question

Fill in the blanks!

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 can be modeled by the equion:

_x + _y = _.

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

Word bank:
1050
105
10
100
1000
5
50
75
15
110

Answer 1

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 can be modeled by the equation:

**5x + 10y = 1000.**

If the soccer team washed 75 large vehicles, that means they had to wash **100** small vehicles to meet their $1000 total.

Let's verify the calculation for the number of small vehicles:

1. For 75 large vehicles, the amount collected from them:
\( 10 \times 75 = 750.\)

2. The remaining amount to reach $1000:
\( 1000 - 750 = 250.\)

3. The number of small vehicles washed:
\( \frac{250}{5} = 50.\)

Therefore, the answers filled in are:
5 (for small vehicles), 10 (for large vehicles), 1000 (total money), and 50 (small vehicles washed).