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

612 students attended and 325 adults attended the play

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

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

From eqn 3,

s = 937 - 325

Thus 612 students attended and 325 adults attended the play

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step-by-step explanation: