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:

Number of small vehicles washed were 60.

Step-by-step explanation:

Soccer team collected $800 by charging $5 for the small vehicles and $10 for larger vehicles.

Amount collected was modeled by the equation

5x + 10y = 800

Where x = Number of small vehicles

y = Number of larger vehicles

If y = 5 then we have to calculate the number of small vehicles washed.

By putting y = 50 in the equation,

5x + 10(50) = 800

5x + 500 = 800

5x = 800 - 500

5x = 300

x = $\frac{300}{5}$

x = 60

Therefore, number of small vehicles washed were 60.

Answer 2

Plug 50 into y and find x.

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