Answer:
Students purchased 1296 tickets and teachers purchased 482 tickets.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of tickets purchased by students and y be the number of tickets purchased by teachers.
Total tickets purchased = 1778
Thus, we can write the equation:
[tex]x+y = 1778[/tex]
There are 150 students less than three times the number of teacher's tickets.
Thus, we can write the equation:
[tex]x = 3y - 150[/tex]
Solving the two equations, we get,
[tex]3y-150 + y = 1778\\4y = 1928\\y = 482\\x = 3(482)-150=1296[/tex]
Thus, students purchased 1296 tickets and teachers purchased 482 tickets.
