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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?

Respuesta :

metchelle
Given the following functions:

5x + 10y = 800
x + y = 50

y = 50

Substituting to the first equation:

5x + 10(50) = 800
5x + 500 = 800
5x = 300
x = 60

Therefore, 60 small vehicles were washed in total.
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!

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