Solve using a system of three linear equations.A total of 334 people attend a community theatre performance. The admission prices were $7.50 for adults, $6.00 for students, and $6.50 for senior citizens. The ticket sales totaled $2324. At the theatre's next board meeting, the finance manager proposed that for the next play they raise prices to $9.50 for adults, $7.00 for students, and $8.00 for senior citizens. He said that if the exact same number of people attend the next performance, the ticket sales would be $2889. How many adults, students, and senior citizens attended the play?

A. 166 adults, 54 students, 114 senior citizens
B. 174 adults, 48 students, 112 senior citizens
C. 170 adults, 56 students, 108 senior citizens
D. 178 adults, 50 students, 106 senior citizens


Answer: D

Mathematics

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