Question

Spartan Stadium at San Jose State University in California has a seating capacity of about 30,000. A newspaper article states that the Spartans get four times as many tickets as the visiting team. Suppose S represents the number of tickets for the Spartans and V represents the number of tickets for the visiting team’s fans.

Write and solve a system of equations to find how many tickets each team gets.

Answer 1

Number of tickets for the Spartans = 24000

Number of tickets for the visiting team’s fans = 6000

Explanation:

Let the no. of tickets for the visiting team’s fans be x.

so,according to the question

no. of tickets for the Spartans = 4x

total seating capacity of Spartan Stadium = 30000

now, we see that,

4x+x = 30000

5x = 30000

x = 30000/5

x = 6000

Number of tickets for the visiting team’s fans = x = 600

Number of tickets for the Spartans = 4x = 4(6000) = 24000