document.write( "Question 1203890: If 68 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2 and total receipts for the concert was $195.5, how many of each went to the concert? \n" ); document.write( "
Algebra.Com's Answer #839782 by mananth(16946)![]() ![]() You can put this solution on YOUR website! If 68 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2 and total receipts for the concert was $195.5, how many of each went to the concert?\r \n" ); document.write( "\n" ); document.write( "68 people attend a concert\r \n" ); document.write( "\n" ); document.write( " let x adults attend the concert . tickets for adults cost $3.75\r \n" ); document.write( "\n" ); document.write( " Let y children attend the concert . Tickets for children cost $2 \r \n" ); document.write( "\n" ); document.write( "Number attended equation\r \n" ); document.write( "\n" ); document.write( "x+y=68...........................................(1)\r \n" ); document.write( "\n" ); document.write( "Receipts equation \r \n" ); document.write( "\n" ); document.write( "3.75x + 2y = 195.5.............................(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by 2 and subtract (2)\r \n" ); document.write( "\n" ); document.write( "2x+2y = 136 \n" ); document.write( "3.75x +2y= 195.5 ( From (2))\r \n" ); document.write( "\n" ); document.write( "-1.75x = -59.5\r \n" ); document.write( "\n" ); document.write( "x = -59.5/-1.75\r \n" ); document.write( "\n" ); document.write( "x=34\r \n" ); document.write( "\n" ); document.write( "y =68-34 = 34 \r \n" ); document.write( "\n" ); document.write( " 34 adults and 34 children attended the concert. \n" ); document.write( " |