document.write( "Question 1208700: mr thomas and his three children paid a total of $65.75 for admission to water world. mr and mrs li and her six children paid a total of $131.50. what is the price of an adults ticket and what is the price of a children's ticket \n" ); document.write( "
Algebra.Com's Answer #847105 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\"system%28A%2B3C=65.75%2C2A%2B6C=131.50%29\"\r\n" );
document.write( "\r\n" );
document.write( "The second equation is equivalent to the first (multiplied by 2)\r\n" );
document.write( "Therefore the system is dependent. If the prices are an integer\r\n" );
document.write( "number of pennies, then consider $65.75 as 6575 pennies.\r\n" );
document.write( "\r\n" );
document.write( "A=6575-3C\r\n" );
document.write( "\r\n" );
document.write( "6575-3C must be an integer, say I\r\n" );
document.write( "\r\n" );
document.write( "A=6575-3C=I\r\n" );
document.write( "\r\n" );
document.write( "Divide through by 3\r\n" );
document.write( "\r\n" );
document.write( "\"6575%2F3-3C%2F3=I%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "\"2191%262%2F3-C=I%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "\"2191%2B2%2F3-C=I%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "Isolate fraction terms\r\n" );
document.write( "\r\n" );
document.write( "\"2191-C=I%2F3-2%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "The left side is an integer so the right side must be also, say integer N\r\n" );
document.write( "\r\n" );
document.write( "\"I%2F3-2%2F3=N\"  and \"2191-C=N\", so \"C=N%2B2191\"\r\n" );
document.write( "\r\n" );
document.write( "\"I-2=3N\"\r\n" );
document.write( "\r\n" );
document.write( "\"I=3N%2B2\"\r\n" );
document.write( "\r\n" );
document.write( "\"A=6575-3C=I=3N%2B1\"\r\n" );
document.write( "\r\n" );
document.write( "Solutions:  \"A=3N%2B1\" and \"C=N%2B2191\" , Where A and C are in cents.\r\n" );
document.write( "\r\n" );
document.write( "If adults' tickets are to be realistically more expensive than children's tickets, then A > C\r\n" );
document.write( "\r\n" );
document.write( "\"3N%2B1%3EN%2B2191\"\r\n" );
document.write( "\"2N%3E2190\"\r\n" );
document.write( "\"N%3E1095\"\r\n" );
document.write( "\r\n" );
document.write( "So N would have to be greater than 1095 for adults' tickets to be realistically\r\n" );
document.write( "more expensive than childrens' tickets.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "
\n" );