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 5 x plus 10 y equals 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

5x + 10y = 800

y = 50

10y = 10*50 = 500

800 - 500 = 300

300/5 = 60

x = 60

5(60) + 10(50) = 800

60 small vehicles were washed in total

Answer 2

Answer: There are 60 small vehicles that were washed in total.

Step-by-step explanation:

Since we have given that

Let x be the number of small vehicles.

Let y be the  number of large vehicles.

Cost of each small vehicles = $5.00

Cost of each large vehicles = $10.00

Since the number of larger vehicles = 50

According to question, it becomes,

$5x+10y=800\\\\5x+10\times 50=800\\\\5x+500=800\\\\5x=800-500\\\\5x=300\\\\x=\dfrac{300}{5}\\\\x=60$

Hence, there are 60 small vehicles that were washed in total.