document.write( "Question 524025: on the first day of ticket sales the school sold 5 adult tickets and 7 child tickets for a total of $154. the school took in $146 on the second day by selling 7 adult tickets and four child tickets. Find the price of an adult ticket and the price of a child ticket \n" ); document.write( "
Algebra.Com's Answer #347566 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Adult x price/ticket , \n" ); document.write( "Child y price/ticket , \n" ); document.write( " \n" ); document.write( "5 x + 7 y = 154 .............1 \n" ); document.write( "7 x + 4 y = 146 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -4 \n" ); document.write( "Multiply (2) by 7 \n" ); document.write( "-20 x -28 y = -616 \n" ); document.write( "49 x 28 y = 1022 \n" ); document.write( "Add the two equations \n" ); document.write( "29 x = 406 \n" ); document.write( "/ 29 \n" ); document.write( "x = 14.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "5 x + 7 y = 154 \n" ); document.write( "70 + 7 y = 154 \n" ); document.write( " 7 y = 154 -70 \n" ); document.write( " 7 y = 84 \n" ); document.write( " y = 12.00 \n" ); document.write( "Adult $14.00 price/ticket \n" ); document.write( "Child $12.00 price/ticket \n" ); document.write( " \n" ); document.write( " |