Atotal of 937 people attended the play. admission was $2.00 for adults and $0.75 for students. the total ticket sale amounted to $1,109. how many students and adults attended the play?

To solve this question, we can set two equations:

Let x be number of adults and y be number of students.

As there are in total 937 people, the equation would be the sum of both adults and children:
x+y=937
x=937-y...(1)

As the total sale amount is $1109, the equation would be to add up the ticket fee:
2x+0.75y=1109...(2)

Put (1) into (2):

2(937-y)+0.75y = 1109
1874-2y+0.75y = 1109
-2y+0.75y = 1109-1874
-1.25y = -765
y = 763/1.25
y = 612

Put y into (1):
x = 973-612
x = 361

Therefore there are 612 adults abd 361 students.

Hope it helps!