Solve Using a System of Three Linear Equations

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