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