SOLUTION: In a movie theater, the total cost of the tickets collected before the movie started was P 100545. Premiere tickets cost P 120 and deluxe seats cost P 75. If the number of people w

Algebra ->  Finance -> SOLUTION: In a movie theater, the total cost of the tickets collected before the movie started was P 100545. Premiere tickets cost P 120 and deluxe seats cost P 75. If the number of people w      Log On


   

Question 1011923: In a movie theater, the total cost of the tickets collected before the movie started was P 100545. Premiere tickets cost P 120 and deluxe seats cost P 75. If the number of people who bought premiere tickets was 11 more than twice the number of people who bought deluxe tickets, how many tickets were sold?

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
p, premiere seats
x, deluxe seats
system%28p=11%2B2x%2C120p%2B75x=100545%29

120%282x%2B11%29%2B75x=100545
%28120%282x%2B11%29%2B75x%29%2F5=100545%2F5
24%282x%2B11%29%2B15x=20109
%281%2F3%29%2824%282x%2B11%29%2B15x%29=20109%281%2F3%29
8%282x%2B11%29%2B5x=6703
16x%2B88%2B5x=6703
21x%2B88=6703
21x=6703-88
21x=6615
highlight%28x=315%29

p=11%2B2x
p=11%2B2%2A315
p=11%2B630
highlight%28p=641%29

Happy New Year.
315 Luxury Tickets and 641 Premiere Tickets