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)\"\" \"About 
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( "
\n" );