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 5x + 10y = 800, 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?
plug 50 into y and find x.
5x + 10 (50) = 800
5x + 500 = 800
5x = 800 - 500
5x = 300
x = 300 ÷ 5
x = 60
Answer:
Number of small vehicles washed were 60.
Step-by-step explanation:
Soccer team collected $800 by charging $5 for the small vehicles and $10 for larger vehicles.
Amount collected was modeled by the equation
5x + 10y = 800
Where x = Number of small vehicles
y = Number of larger vehicles
If y = 5 then we have to calculate the number of small vehicles washed.
By putting y = 50 in the equation,
5x + 10(50) = 800
5x + 500 = 800
5x = 800 - 500
5x = 300
x = \(\frac{300}{5}\)
x = 60
Therefore, number of small vehicles washed were 60.