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

Answer:

b. 60

Step-by-step 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:

$5x+10(50)=800$

$5x+500=800$

$5x+500-500=800-500$

$5x=300$

$\frac{5x}{5}=\frac{300}{5}$

$x=60$

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