Q:

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

Accepted Solution

A:
Answer:b. 60Step-by-step explanation:We have been given a formula [tex]5x+10y=800[/tex], 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 [tex]y=50[/tex] in the given equation as:[tex]5x+10(50)=800[/tex][tex]5x+500=800[/tex][tex]5x+500-500=800-500[/tex][tex]5x=300[/tex][tex]\frac{5x}{5}=\frac{300}{5}[/tex][tex]x=60[/tex]Therefore, 60 small vehicles were washed in total and option 'b' is the correct choice.