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?

Question

Mathematics

PbJ

4 October, 22:53

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?

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Answers (1)

Know the Answer?

Alana Shannon · Answer 1

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!