Question

A total of 950 people attended the school play. Admission was $2 for adults and $1 for students. A total ticket sale amounted to $1200. How many adults and students attended the play.

Answer 1

Let A be the number of adults and S be the number of students attending the play.

From the given information, we can create two equations:

1) A + S = 950 (total number of people)
2) 2A + S = 1200 (total amount collected in ticket sales)

We can solve these two equations simultaneously to find the values of A and S.

From equation 1, we have A = 950 - S

Substitute this into equation 2:

2(950 - S) + S = 1200
1900 - 2S + S = 1200
1900 - S = 1200
-S = -700
S = 700

Now, substitute S = 700 into equation 1:

A + 700 = 950
A = 250

Therefore, there were 250 adults and 700 students attending the play.