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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 vehicle\s. The amount collected can be modeled by the equation , 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 :

Answer 55 Cars “Small Cars” were washed

250+10y=800

10y=550

y=55

Answer: The number of small vehicles were washed 60 in total.

Step-by-step explanation:

Let the number of small vehicles be 'x'.

Let the number of large vehicles be 'y'.

Cost charged for small vehicle = $5.00

Cost charged for larger vehicle = $10.00

Total amount collected at a car wash fundraiser = $800

According to question,

[tex]5x+10y=\$800\\\\x+2y=\$160[/tex]

Since the number of larger vehicles washed = 50

That means, y = 50.

So, we put the value of y in the above equation, to get the number of small vehicles were washed in total.

[tex]x+2y=160\\\\x+2\times 50=160\\\\x+100=160\\\\x=160-100\\\\x=60[/tex]

Hence, the number of small vehicles were washed 60 in total.

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