Balcony and orchestra tickets were sold for a Friday night concert last week. The balcony and orchestra tickets sold for $35 and $45, respectively. If 90 tickets were sold, and the total revenue was $3550 for the night, find the number of balcony and orchestra tickets sold.

Question

Mathematics

Potts

31 August, 19:30

Balcony and orchestra tickets were sold for a Friday night concert last week. The balcony and orchestra tickets sold for $35 and $45, respectively. If 90 tickets were sold, and the total revenue was $3550 for the night, find the number of balcony and orchestra tickets sold.

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Answers (1)

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Marley Briggs · Answer 1

X = balcony and y = orchestra

x + y = 90 ... x = 90 - y

35x + 45y = 3550

35 (90 - y) + 45y = 3550

3150 - 35y + 45y = 3550

-35y + 45y = 3550 - 3150

10y = 400

y = 400/10

y = 40 < = = 40 orchestra tickets

x = 90 - y

x = 90 - 40

x = 50 < = = 50 balcony tickets