A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats cost $45 each and regular s
eats cost $34 each. All of the theaters 75?preffered seats were sold out that evening. How many tickets were sold?
1 answer:
Let
P = Number of ticket for preferred seats costing $45 per seat
R = Number of regular seats costing $34 per seat.
Total revenue = P*45 + R*34 =8,917
45P + 34R = 8917
But, number of preferred seats is 75 or P=75 seats
Then,
45*75 +34R = 8917
3375 +34R = 8917
34R = 5542
R = 5542/34 = 163
Total number of seats = P+R = 75+163 = 238 seats. If each seat is sold for one ticket, then 238 tickets wee sold.
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