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Answer: 30
Step-by-step explanation:
1. Use the Pythagorean theorem ()
612 students attended and 325 adults attended the play
<h3><u>Solution:</u></h3>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
<em><u>Given that total 937 people attended the play</u></em>
number of students + number of adults = 937
s + a = 937 ---------- eqn 1
<em><u>The total ticket sales amounted to $1,109</u></em>
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
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
s = 937 - a -------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
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
<h3>s = 612</h3>Thus 612 students attended and 325 adults attended the play