Respuesta :
612 students attended and 325 adults attended the play
Solution:
Let "s" be the number of students attended the play
Let "a" be the number of adults attended the play
Cost of 1 adult ticket = $ 2
Cost of 1 student ticket = $ 0.75
Given that total 937 people attended the play
number of students + number of adults = 937
s + a = 937 ---------- eqn 1
The total ticket sales amounted to $1,109
number of adults x Cost of 1 adult ticket + number of students x Cost of 1 student ticket = 1109
[tex]a \times 2 + s \times 0.75 = 1109[/tex]
2a + 0.75s = 1109 ---- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
s = 937 - a -------- eqn 3
Substitute eqn 3 in eqn 2
2a + 0.75(937 - a) = 1109
2a + 702.75 - 0.75a = 1109
1.25a = 1109 - 702.75
1.25a = 406.25
[tex]a = \frac{406.25}{1.25}[/tex]
a = 325
From eqn 3,
s = 937 - 325
s = 612
Thus 612 students attended and 325 adults attended the play
