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 $5x + 10y = 800$, 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?
150
60
55
130

Explanation:

Step1: Substitute \( y = 50 \) into the equation

We have the equation \( 5x + 10y = 800 \). Substitute \( y = 50 \) into it: \( 5x + 10\times50 = 800 \)

Step2: Simplify the equation

Calculate \( 10\times50 = 500 \), so the equation becomes \( 5x + 500 = 800 \)

Step3: Solve for \( x \)

Subtract 500 from both sides: \( 5x = 800 - 500 = 300 \). Then divide both sides by 5: \( x=\frac{300}{5}=60 \)

Answer:

60