As we are given with
The soccer team collected $800
They charged $5.00 for small vehicles
They charged $10.00 for larger vehicles.
here x represents the number of small vehicles and y represents the number of larger vehicles.
Number of larger vehicles washed was 50
[tex] 5x + 10y = 800\\
5x+10*50=800, y=50\\
\\
5x+500=800\\
\\
5x=800-500\\
\\
\
5x=300\\
\\
\
x=\frac{300}{5}=60=Number \ \ of \ \ small \ vechiles [/tex]