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adelina 88 [10]
3 years ago
9

Spartan Stadium at San Jose State University in California has a seating capacity of about 30,000. A newspaper article states th

at 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. Which system could be used by a newspaper reader to determine how many tickets each team gets? a. 4S + 4V = 30,000 S = 4V c. S + V = 30,000 V - 4S = 0 b. S - 4V = 0 S + V = 30,000
Mathematics
1 answer:
torisob [31]3 years ago
7 0

The answer is the option b: b. \left \{ {{S-4V=0} \atop {S+V=30,000}} \right. \\

The explanation is shown below:

1. You have that <em>S</em> represents the number of tickets for the Spartans and <em>V</em> 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:

S+V=30,000

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

S=4V

S-4V=0

3. If you solve the system of equations by the method of substitution, you obtain:

S+V=30,000

4V+V=30,000

V=6,000

4. Calculate <em>S:</em>

S+6,000=30,000

S=24,000

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