Question

A football 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 help the student in his research, he represents the number of home team tickets as H and the visiting team’s tickets as V.

Which system of equations does the college student use to determine how many tickets each team gets?

Answer 1

Option d

Explanation:

We know that 52,000 fans can fit into the stadium.

Then the amount of tickets that can be sold must equal 52,000.

If we call H the number of tickets for the home team and call V the number of tickets for the visiting team, then:

`H + V = 52,000`

Then, we know that the local team has 5 times more fans than the visiting team. So we can write that:

`H = 5V\\H-5V = 0`

Finally, the system of equations sought is:

`H - 5V = 0\\H + V = 52 000`