Solve Using a System of Three Linear Equations

question 75

Multiple Choice

Solve using a system of three linear equations.
-A total of 384 people attend a community theatre performance. The admission prices were $10.00 for adults, $8.00 for students, and $9.00 for senior citizens. The ticket sales totaled $3590. At the theatre's next board
Meeting, the finance manager proposed that for the next play they raise prices to $11.00 for adults, $8.50 for
Students, and $9.50 for senior citizens. He said that if the exact same number of people attend the next
Performance, the ticket sales would be $3886. How many adults, students, and senior citizens attended the
Play?

• A)196 adults, 78 students, 110 senior citizens
• B)200 adults, 80 students, 104 senior citizens
• C)204 adults, 72 students, 108 senior citizens
• D)208 adults, 74 students, 102 senior citizens

---

Definitions:

Accounting Period

A specific time frame in which financial transactions are recorded and financial statements are prepared, commonly a fiscal quarter or year.

Voting Common Stock

Shares that give the shareholder the right to vote on corporate matters, such as electing the board of directors, at shareholder meetings.

Long-Term Investments

Assets that a company intends to hold for more than one year, such as stocks, bonds, real estate, and other securities.

Accounting Period

A specific period of time used for financial reporting purposes, which could be monthly, quarterly, or annually.