document.write( "Question 1150111: An investor buys a total of 360 tickets for CONCERT. The price of adult ticket is $35, while the price for children's ticket is $45. The investor spends a total of $15000. How many tickets for adult and for children did he buy? \n" ); document.write( "
Algebra.Com's Answer #771471 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! # of Adult tickets = A \n" ); document.write( "# of Children's tickets = C \n" ); document.write( " \n" ); document.write( "Set up two equations: \n" ); document.write( " \n" ); document.write( "A + C = 360 \n" ); document.write( "35A + 45C = 15000 \n" ); document.write( " \n" ); document.write( "Multiply the first equation by -45: \n" ); document.write( " \n" ); document.write( "-45(A + C) = -45(360) \n" ); document.write( " \n" ); document.write( "-45A - 45C = -16200 \n" ); document.write( " \n" ); document.write( "Here are your two equations again: \n" ); document.write( " \n" ); document.write( "-45A - 45C = -16200 \n" ); document.write( "35A + 45C = 15000 \n" ); document.write( " \n" ); document.write( "Add the equations together: \n" ); document.write( " \n" ); document.write( "-10A = -1200 \n" ); document.write( " \n" ); document.write( "Solve for A: \n" ); document.write( " \n" ); document.write( "A = 120 \n" ); document.write( " \n" ); document.write( "Go back to the original equations we set up. The first one is: \n" ); document.write( " \n" ); document.write( "A + C = 360 \n" ); document.write( " \n" ); document.write( "Plug in A = 120: \n" ); document.write( " \n" ); document.write( "120 + C = 360 \n" ); document.write( " \n" ); document.write( "Solve for C: \n" ); document.write( " \n" ); document.write( "C = 240 \n" ); document.write( " \n" ); document.write( "# of Adult tickets = A = 120 \n" ); document.write( "# of Children's tickets = C = 240 |