document.write( "Question 531023: A Senior class is planning a trip to Chicago. a Bus seats 51 people a bus seats 8 people. If there are 150 students going on the trip in a total of 8 vehicles, how many buses and vans are taken on the trip?
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document.write( "I have already found the answer: 2 buses, and 6 vans; but this must be solved algebraically, showing all of my work. How do i do that? (set it up algebraically?) Thank you \n" );
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Algebra.Com's Answer #350305 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A Senior class is planning a trip to Chicago. \n" ); document.write( "---------------------------------- \n" ); document.write( "A bus seats 51 people ; a van seats 8 people. If there are 150 students going on the trip in a total of 8 vehicles, how many buses and vans are taken on the trip? \n" ); document.write( "--------- \n" ); document.write( "b + v = 8 vehicles \n" ); document.write( "51b + 8v = 150 students \n" ); document.write( "---- \n" ); document.write( "Multiply thru the 1st equation by 8 to get: \n" ); document.write( "8b + 8v = 64 \n" ); document.write( "51b + 8v = 150 \n" ); document.write( "----- \n" ); document.write( "Subtract and solve for \"b\": \n" ); document.write( "43b = 86 \n" ); document.write( "b = 2 (# of busses) \n" ); document.write( "----- \n" ); document.write( "Solve for \"v\": \n" ); document.write( "b + v = 8 \n" ); document.write( "2 + v = 8 \n" ); document.write( "v = 6 (# of vans) \n" ); document.write( "===================== \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " \n" ); document.write( " |