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 58 1/3% of the people in the line are behind you, then the total number of
Question 1189799: You're standing in a line-up at the movie theatre. If 40% of the people in line are in front of you and 58 1/3% 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 Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52776) (Show Source):
You can put this solution on YOUR website! .
You're standing in a line-up at the movie theatre. If 40% of the people in line are in front of you
and 58 1/3% 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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Let x be the number of people in the line.
From the given part, we have this equation
0.4x + 1 + 0.584x = x.
Simplify and find x
1 = x - - <<<---=== This fraction, , represents 58 %.
300 = 300x - 120x - 175x
300 = 5x
x = 300/5 = 60 persons in the line. ANSWER
You can put this solution on YOUR website! With 40% of the people in line in front of you and 58 1/3% of the people in line behind you, the percentage of people in line not counting you is 98 1/3%.
That means you -- a single person -- represent 1 2/3% = (5/3)% of the total number of people in line.
You are 1/60 of the total number of people in line, so the number of people in line is 60.
