Afootball stadium holds 52,000 fans. a college student is doing research and determines that on any given game day, the home team has five times as many fans as the visiting team. in order to the student in his research, he represents the number of home team tickets as h and the visiting team’s tickets as v.

You probably are interested in setting up system of equations to find the number of fans for Home Team and Visiting Team.

Based on this data, we can find the number of number of fans of each team.

Following data has been provided:

1) Total number of fans stadium can hold = 52000
So on a given day if stadium is full,
H + V = 52000

2) Home team has 5 times as many fans as the visiting team.
So,
H = 5V

Using the value of H in first equation, we get:

5V + V = 52000
6V = 52000
V = 8667 fans

H + V = 52000
⇒
H = 52000 - V = 52000 - 8667 = 43333 fans

So, 
there will be 43,333 fans of home team and 8667 fans of visiting team.