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?

Answer 1

Answer:

The number of small vehicles washed in total = 60

Step-by-step explanation:

Amount of money that soccer team selected at a car wash fundraiser = $800

Amount of money charged for small vehicles = $5

Amount of money charged for larger vehicles = $10

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

Now, the number of larger vehicles washed was 50 and we need to find the number of small vehicles washed.

So, y = 50 and find the value of x from the modeled equation

⇒ 5x + 10y = 800

⇒ 5x + 10 × 50 = 800

⇒ 5x + 500 = 800

⇒ 5x = 300

⇒ x = 60

Thus, The number of small vehicles washed in total = 60

Answer 2

So, we know this:

5x+10y = 800

and we also know that the number of larger vehicles was 50.

So we can substitute:


5x+10y = 800


5x+10*50 = 800

and calculate:

5x+500 = 800

and now subtract 500 from both sides:

5x=300

and divide by 5:

x=60.

and this is our answer: there were 60 smaller vehicles washed!