s = the number of student tickets sold
a = the number of adult tickets sold
The drama class sold 25 more student tickets than adult tickets to the fall play
s = a + 25
The class collected $660 from ticket sales:
6s + 3a = 660 divide both sides by 3
2s + a = 220
by solving the system of equations
s = a + 25
2s + a = 220
we find
s = 81.67 student tickets
a = 56.67 adult tickets
The cost of 25 student tickets is $75. If we take this away from the total amount, we have an equal number of student and adult tickets making $585. One child ticket plus one adult ticket is $9.
585/9= 65.
Checking this:
65x3=195 65x6=390
195+390+75= 660
Therefore, 90 student tickets were sold, since 65+25=90.
