SOLUTION: A movie theater charges $80 for adults, $45 for children and $60 for senior citizens. One day, the theater sold 405 tickets and collected $23,200 in receipts. There were twice as m

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A movie theater charges $80 for adults, $45 for children and $60 for senior citizens. One day, the theater sold 405 tickets and collected $23,200 in receipts. There were twice as m      Log On

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Question 322655: A movie theater charges $80 for adults, $45 for children and $60 for senior citizens. One day, the theater sold 405 tickets and collected $23,200 in receipts. There were twice as many children's tickets sold as adullts' tickster. How many adults, children and senior citizens watched the movie that day?
Answer by QH(50) About Me  (Show Source):
You can put this solution on YOUR website!
First assign your variables
Adult = x
Child = 2x
Senior = 405-3x <--- This is the total tix minus the sum of adult & child tix
Multiply each by their value
Adult = 80(x)
Child = 45(2x)
Senior = 60(405-3x)
Add together to equal total value of tickets sold
%2880x%29%2B%2890x%29%2B%2824300-180x%29=23200
-10x=-1100
x=110 adult tickets
2x=220 child tickets
405-3x=75 senior tickets
*check*
# of tickets
110%2B220%2B75=750
750=750
$ of tickets
%28110%2A80%29%2B%28220%2A45%29%2B%2875%2A60%29=23200
%288800%29%2B%289900%29%2B%284500%29=23200
23200=23200