the soccer team collected $800 at a car wash fundraiser. they charged $5.00 for small vehicles and $10.00…

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? 55 60 130 150

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? 55 60 130 150

Answer

Explanation:

Step1: Substitute the value of (y) into the equation

Given (y = 50), substitute into (5x+10y = 800). We get (5x+10\times50=800).

Step2: Simplify the equation

First, calculate (10\times50 = 500). The equation becomes (5x+500 = 800). Then, subtract (500) from both sides: (5x=800 - 500). So, (5x=300).

Step3: Solve for (x)

Divide both sides of (5x = 300) by (5). (x=\frac{300}{5}=60).

Answer:

60