lorireyna13
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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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MrEquation
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.

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

What is the substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations.

Here S represents the number of tickets for the Spartans and V represents the number of tickets for the visiting team's fans, and the seating capacity of the Spartan Stadium is 30,000.

Therefore, the total number of tickets is 30,0000:

[tex]\rm S+V=30000[/tex]

If the Spartans get four times as many tickets as the visiting team, you have:

[tex]\rm S=4V\\\\[/tex]

Substitute the value of S in equation 1

[tex]\rm 4V+V=30000\\\\ 5V=30000 \\\\ V =\dfrac{30000}{5}\\\\V=6000[/tex]

Substitute the value of V in equation 2

[tex]\rm S=4V\\\\S= 6000 \times 4\\\\S=24,000[/tex]

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

Learn more about the substitution method here;

https://brainly.com/question/9512481

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