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
~~~~~~~~~~~~~~~

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

Solved.

Answer by greenestamps(13198) (Show Source): 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.

ANSWER: 60

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