Problema Solution

The number of students attending the fall play was 150 fewer than three times the number of adults. Together students and adults purchased 1778 tickets. How many students attended the fall play?

Answer provided by our tutors

let


s = the number of the students


a = the number of the adults


The number of students attending the fall play was 150 fewer than three times the number of adults:


s = 3a - 150


Together students and adults purchased 1778 tickets:


s + a = 1778


by solving the system of equations:


s = 3a - 150


s + a = 1778


we find:


s = 1296 students


a = 482 adults


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1296 students attended the play.