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.

Question

Mathematics

Roy Webster

2 March, 09:12

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.

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Answers (1)

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Lucas Hansen · Answer 1

The Spartans should be 24,000 and the visitors should get 6,000.

Here are 2 equations that could be written and solved.

S + V = 3000

S = 4V

Now, just use substitution to find the answer.

4V + V = 3000

5V = 3000

V = 6000

Then, multiply 6000 by 4 to get the amount for the Spartans.