document.write( "Question 398813: Please help me with this! :)\r
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document.write( "The senior class at highschool A and highschool B planned seperate trips to the state fair. The senior class at highschool A rented and filled 4 vans and 3 busses with 125 students. Highschool B rented 4 vans and 8 busses with 240 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.\r
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document.write( "Thank you so much! \n" );
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Algebra.Com's Answer #282643 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! he senior class at highschool A and highschool B planned seperate trips to the state fair. \n" ); document.write( " The senior class at highschool A rented and filled 4 vans and 3 busses with 125 students. \n" ); document.write( " Highschool B rented 4 vans and 8 busses with 240 students. \n" ); document.write( " Each van and each bus carried the same number of students. Find the number of students in each van and in each bus. \n" ); document.write( ": \n" ); document.write( "let v = no. of students in the van \n" ); document.write( "Let b = no. in the bus \n" ); document.write( ": \n" ); document.write( "School A: \n" ); document.write( "4v + 3b = 125 \n" ); document.write( "School B: \n" ); document.write( "4v + 8b = 240 \n" ); document.write( ": \n" ); document.write( "Subtract the 1st equation from the 2nd equation, \n" ); document.write( "4v + 8b = 240 \n" ); document.write( "4v + 3b = 125 \n" ); document.write( "----------------subtraction eliminates v, find b \n" ); document.write( "5b = 115 \n" ); document.write( "b = 115/5 \n" ); document.write( "b = 23 students in each bus \n" ); document.write( ": \n" ); document.write( "Find no. in the vans using the 1st equation \n" ); document.write( "4v + 3(23) = 125 \n" ); document.write( "4v + 69 = \n" ); document.write( "4v = 125 - 69 \n" ); document.write( "4v = 56 \n" ); document.write( "v = 56/4 \n" ); document.write( "v = 14 students in each van \n" ); document.write( ": \n" ); document.write( "Check solutions in 2nd equation \n" ); document.write( "4(14) + 8(23) = \n" ); document.write( "56 + 184 = 240 kids \n" ); document.write( " |