Question 1189799
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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 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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<pre>
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 - {{{(40/100)x}}} - {{{(175/300)x}}}   <<<---===  This fraction,  {{{175/300}}},  represents  58 {{{1/3}}} %.

    300 = 300x - 120x - 175x

    300 = 5x

    x = 300/5 = 60 persons in the line.      <U>ANSWER</U>
</pre>

Solved.