document.write( "Question 1123684: Two hockey tickets and one basketball ticket cost $110.40. One hockey ticket and two basketball tickets cost
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document.write( "$106.32. What is the price of each ticket?
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document.write( "PLEASE HELP ME SOLVE THIS QUESTION \n" );
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Algebra.Com's Answer #740040 by Theo(13342) You can put this solution on YOUR website! let h = the price of one hockey ticket. \n" ); document.write( "let b = the price of one baseball ticket.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equations are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2h + b = 110.40 \n" ); document.write( "1h + 2b = 106.32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "thse are two equations that need to be solved simultaneously because the same value of h and b will apply equally to each equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of the first equation by 2 and leave the second equation as is to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4h + 2b = 220.80 \n" ); document.write( "1h + 2b = 106.32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract the equation from the first to get 3h = 114.80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for h to get h = 114.80 / 3 = 38.16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace h with 38.16 in the second equation and solve for b as shown below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 * 38.16 + 2b = 106.32 \n" ); document.write( "subtract 38.16 from both sides of the equation to get: \n" ); document.write( "2b = 68.16 \n" ); document.write( "solve for b to get b = 68.16 / 2 = 34.08\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have h = 38.16 and b = 34.08\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace h and b in the original equations to confirm the solution is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2h + b = 110.40 becomes 2*38.16 + 34.08 = 110.40 which becomes 110.4 = 110.4, confirming the solution is correct in the first equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1h + 2b = 106.32 becomes 1*38.16 + 2*34.08 = 106.32 which becomes 106.32 = 106.32, confirming the solution is correct in the second equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that the price of one hockey ticket is 38.16 and the price of one baseball ticket is 34.08.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |