an auditorium has 300 balcony seats and 1400 main-level seats. If tickets for balcony seats are priced at $12 less than the price of main-level seats, what should the prices be for each type of ticket so that the total revenue from a sell-out performance would be $40,600?
2007-12-18 02:13:38 · 3 answers · asked by Beep B 5 in Science & Mathematics ➔ Mathematics
300b + 1400m=40600
B+12=m
300(m-12)=40600-1400m
300m – 3600 = 40600-1400m
1700m = 44200
M=26
B=14
Main level seats are 26 bucks, balcony seats 14.
Duh.
2007-12-18 02:26:27 · answer #1 · answered by Anonymous · 0⤊ 1⤋
Let us assume price for a balcony seat is X. So, for main level seat is (X-12) dollars. Now, sellout performance cost can be expressed as:
X * 1400 + (X-12) * 300 = 40600
X * 1400 + X * 300 - 12 * 300 = 40600
X * (1400 + 300) - 3600 = 40600
X * (1700) - 3600 = 40600
X * 1700 = 40600 + 3600
X * 1700 = 44200
X = 44200/1700
X = $26 (Main level seat)
Balcony seat cost is X-12 = $14
2007-12-18 10:24:27 · answer #2 · answered by Kids Science Fun 2 · 0⤊ 1⤋
the price of the main-level is x, the prices of balcony x-12
so you have 1400*x +300*(x-12) = 40600
simplify dividing by100
14x+3(x-12) =406$
17x-36 =406$
17x=442$
x=26$
proof 1400*26 + 300(26-12)= 40600!
2007-12-18 10:22:20 · answer #3 · answered by maussy 7 · 0⤊ 0⤋