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 , 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?

a.55
b.60
c.130
d.150

Answer 1

b. 60

Explanation:

We have been given a formula
`5x+10y=800`, where x represents the number of small vehicles and y represents the number of larger vehicles.

To find the number of small vehicles, we will substitute
`y=50` in the given equation as:

`5x+10(50)=800`

`5x+500=800`

`5x+500-500=800-500`

`5x=300`

`(5x)/(5)=(300)/(5)`

`x=60`

Therefore, 60 small vehicles were washed in total and option 'b' is the correct choice.