Answer:
88 students and 47 adults
Step-by-step explanation:
Let x be the number of students and y be the number of adults attended the play last night.
1. A total of 135 tickets to the fall play were sold, then
[tex]x+y=135[/tex]
2. A total amount of $634 waas earned.
Student ticket costs $4, then x student tickets cost $4x.
Adult ticket costs $6, then y adult tickets cost $6y.
In total,
[tex]4x+6y=634[/tex]
3. Solve the system of two equations:
[tex]\left\{\begin{array}{l}x+y=135\\4x+6y=634\end{array}\right.[/tex]
From the first equation,
[tex]x=135-y[/tex]
Substitute it into the second equation,
[tex]4(135-y)+6y=634\\ \\540-4y+6y=634\\ \\2y=634-540\\ \\2y=94\\ \\y=47\\ \\x=135-47=88[/tex]
