document.write( "Question 60876: Adult tickets cost $18.00 children cost $8.00 there were 21 people total at the theatre and they collected $288.00 how many children attended? \n" ); document.write( "
Algebra.Com's Answer #41838 by praseena(37) ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Adult tickets cost $18.00 children cost $8.00 there were 21 people total at the theatre and they collected $288.00 how many children attended?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution:\r \n" ); document.write( "\n" ); document.write( "let us take number of children = x\r \n" ); document.write( "\n" ); document.write( "then number of adults = 21 - x {because total number is 21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cost of one child's ticket = $ 8\r \n" ); document.write( "\n" ); document.write( "so cost of x childen ticket = x * $ 8\r \n" ); document.write( "\n" ); document.write( "cost of one adult ticket = $ 18\r \n" ); document.write( "\n" ); document.write( "so cost of (21 - x ) tickets = (21 -x ) * $ 18\r \n" ); document.write( "\n" ); document.write( "Total money collected = $ 288\r \n" ); document.write( "\n" ); document.write( "this can be combined like this,\r \n" ); document.write( "\n" ); document.write( "( 21 - x )* 18 + x * 8 = $ 288\r \n" ); document.write( "\n" ); document.write( "remove the brackets by multiplying terms, we have,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 21 * 18 - x * 18 + x * 8 = $ 288\r \n" ); document.write( "\n" ); document.write( " 378 - 18x + 8x = 288\r \n" ); document.write( "\n" ); document.write( " 378 - 10x = 288\r \n" ); document.write( "\n" ); document.write( " 378 - 288 = 10 x\r \n" ); document.write( "\n" ); document.write( " 90 = 10 x\r \n" ); document.write( "\n" ); document.write( " x = 90/10\r \n" ); document.write( "\n" ); document.write( " x = 9\r \n" ); document.write( "\n" ); document.write( " therefore number of children = 9 \n" ); document.write( " |