SOLUTION: You're standing in a line-up at the movie theatre. If 40% of the people in line are in front of you and 584% of the people in the line are behind you, then the total number of peop

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: You're standing in a line-up at the movie theatre. If 40% of the people in line are in front of you and 584% of the people in the line are behind you, then the total number of peop      Log On


   

Question 1189796: You're standing in a line-up at the movie theatre. If 40% of the people in line are in front of you and 584% of the people in the line are behind you, then the total number of people in the queue is
a) 36 b) 60 c) 99 d) 100e) 167
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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You're standing in a line-up at the movie theatre. If 40% of the people in line are in front of you
and 584% of the people in the line are behind you, then the total number of people in the queue is
a) 36 b) 60 c) 99 d) 100e) 167
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584%  is  TOOOOOOOOOOOOO  much. 


If the correct number is 58.4% then the solution is as follows.


Let x be the number of people in the line.


From the given part, we have this equation


    0.4x + 1 + 0.584x = x,

or

    1 = x - 0.4x - 0.584x

    1 = (1-0.4-0.584)x

    1 = 0.016x

    x = 1%2F0.016 = 62.5 persons in the line.


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