document.write( "Question 907331: A company has 5 large buses and 6 smaller ones. A large bus holds 11 more people than the smaller one. If the capacity of all the buses is 495, how many people does each size bus hold ? \n" ); document.write( "
Algebra.Com's Answer #550244 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let x represent the capacity of the smaller bus \n" ); document.write( "6x + 5(x+11) = 495 \n" ); document.write( "Distribute \n" ); document.write( "6x + 5x + 55 = 495 \n" ); document.write( "11x + 55 = 495 \n" ); document.write( "Subtract 55 from each side \n" ); document.write( "11x = 440 \n" ); document.write( "Divide each side by 11 \n" ); document.write( "x = 40 \n" ); document.write( "The smaller buses hold 40; therefore the larger ones hold 40+11, or 51 \n" ); document.write( "6 smaller buses with 40 people = 240 \n" ); document.write( "5 larger buses with 51 people = 255 \n" ); document.write( "240 + 255 = 495 \n" ); document.write( " |