document.write( "Question 1008195: On a train, 45% of the passengers are women, 30% are men and 25% are children.
\n" ); document.write( "If there are 120 more women than men on the train, how many children are on the train?
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Algebra.Com's Answer #623957 by jim_thompson5910(35256)\"\" \"About 
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m = # of men
\n" ); document.write( "w = # of women
\n" ); document.write( "c = # of children
\n" ); document.write( "t = total number of passengers on the train\r
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\n" ); document.write( "\n" ); document.write( "45% of the passengers are women, so
\n" ); document.write( "w = 0.45t\r
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\n" ); document.write( "\n" ); document.write( "30% of the passengers are men, so
\n" ); document.write( "m = 0.30t\r
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\n" ); document.write( "\n" ); document.write( "-------------------------------------------\r
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\n" ); document.write( "\n" ); document.write( "\"there are 120 more women than men on the train\" means
\n" ); document.write( "w = m+120\r
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\n" ); document.write( "\n" ); document.write( "Now plug in m = 0.30t and w = 0.45t\r
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\n" ); document.write( "\n" ); document.write( "w = m+120
\n" ); document.write( "w = 0.30t+120
\n" ); document.write( "0.45t = 0.30t+120\r
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\n" ); document.write( "\n" ); document.write( "and isolate t\r
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\n" ); document.write( "\n" ); document.write( "0.45t = 0.30t+120
\n" ); document.write( "0.45t - 0.30t = 120
\n" ); document.write( "0.15t = 120
\n" ); document.write( "t = 120/0.15
\n" ); document.write( "t = 800\r
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\n" ); document.write( "\n" ); document.write( "There are 800 people on the train\r
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\n" ); document.write( "\n" ); document.write( "\"25% are children\", so\r
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\n" ); document.write( "\n" ); document.write( "c = 25% of 800 = 0.25*800 = 200\r
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\n" ); document.write( "\n" ); document.write( "There are 200 children on the train
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