document.write( "Question 947295: Yellowstone national park is a popular field trip destination. This year the senior class High school A an the senior class at high school B both planned trips there. The senior class at high school A rented and filled 7 vans and 14 buses with 504 students. High school B rented and filled 14 vans and 13 buses with 588 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus? \n" ); document.write( "
Algebra.Com's Answer #577965 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Yellowstone national park is a popular field trip destination. This year the senior class High school A and the senior class at high school B both planned trips there. \n" ); document.write( "The senior class at high school A rented and filled 7 vans and 14 buses with 504 students. High school B rented and filled 14 vans and 13 buses with 588 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus? \n" ); document.write( "------ \n" ); document.write( "Equations: \n" ); document.write( "7v + 14b = 504 students \n" ); document.write( "14v + 13b = 588 students \n" ); document.write( "---------------------------- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "14v + 28b = 2*504 \n" ); document.write( "14v + 13b = 588 \n" ); document.write( "---------------- \n" ); document.write( "Subtract and solve for \"b\":: \n" ); document.write( "15b = 420 \n" ); document.write( "b = 28 (# of students in each bus) \n" ); document.write( "---- \n" ); document.write( "Solve for \"v\":: \n" ); document.write( "7v + 14b = 504 \n" ); document.write( "7v + 14*28 = 504 \n" ); document.write( "7v = 112 \n" ); document.write( "v = 16 (# of students in each van) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |