document.write( "Question 995904: A train started is Journey from city hall interchange.At the first stop.2/5 of the passengers alighted and 22 boarded the train .At the second stop ,1/4 of the new total number of passenger alighted and 5 boarded the train .Now there are 80 passenger on board the train.
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document.write( "How many passenger were on the train at city hall interchange. \n" );
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Algebra.Com's Answer #614602 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A train started is Journey from city hall interchange. \n" ); document.write( "At the first stop, 2/5 of the passengers alighted and 22 boarded the train. \n" ); document.write( "At the second stop, 1/4 of the new total number of passenger alighted and 5 boarded the train. \n" ); document.write( "Now there are 80 passenger on board the train. \n" ); document.write( "How many passenger were on the train at city hall interchange. \n" ); document.write( ": \n" ); document.write( "let x = original number of passengers \n" ); document.write( ": \n" ); document.write( "\"At the first stop, 2/5 of the passengers alighted and 22 boarded the train.\" \n" ); document.write( "x - \n" ); document.write( "we can write this expression as a decimal \n" ); document.write( ".6x + 22 on the train when they left the 1st stop \n" ); document.write( ": \n" ); document.write( "\"At the second stop, 1/4 of the new total number of passenger alighted and 5 boarded the train. \n" ); document.write( "Now there are 80 passenger on board the train. \n" ); document.write( "If 1/4 left, there are 3/4 on the train, so we have \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "multiply both sides by 4 \n" ); document.write( "3(.6x+22) = 4(75) \n" ); document.write( "1.8x + 66 = 300 \n" ); document.write( "1.8x = 300 - 66 \n" ); document.write( "1.8x = 234 \n" ); document.write( "x = 234/1.8 \n" ); document.write( "x = 130 pass when the train left the interchange \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We can confirm this answer \n" ); document.write( "3/5 of 130 + 22 = 100 on the train when it left the 1st stop \n" ); document.write( "then 1/4 got off \n" ); document.write( "3/4 of 100 + 5 = 80 remain on the train\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |