document.write( "Question 1124616: Hello, I have used this website before and I found it incredibly useful therefor I would like a little help for one more question if possible:\r
\n" ); document.write( "\n" ); document.write( "Darius saved $500 and wants to open a chequing account. Ontario Trust charges $8 per month, plus $0.50 per cheque. Maple Leaf Savings charges $6 per month, plus 0.75 per cheque. Which bank offers the lower monthly charge?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I’m not quite sure if the equations are supposed to be 0.50x + 8y=500 and 0.75x + 8y=500, 0.50x + 8=500 and 0.75x=500, or something completely different. Take your time and thank you for your assistance. \n" ); document.write( "
Algebra.Com's Answer #740936 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Thanks for your high rating of this website !\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Regarding your problem, the answer depends on the number of checks N.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"Ontario Trust\" charges  8 + 0.5*N  dollars, where N is the number of checks.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"Maple Leaf Savings\" charges  6 + 0.75*N  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Until\r\n" );
document.write( "\r\n" );
document.write( "    8 + 0.5*N < 6 + 0.75*N,   (*)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"Ontario Trust\" is cheaper.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You can easily solve inequality (*).\r\n" );
document.write( "\r\n" );
document.write( "    8 - 6 < 0.75N - 0.5N\r\n" );
document.write( "\r\n" );
document.write( "    2 < 0.25N  ====>  N > \"2%2F0.25\" = 8.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, if the number of checks is greater than 8, the \"Ontario Trust\" is cheaper.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "While the number of check is less than 8,  the \"Maple Leaf Savings\" is cheaper.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If N = 8,  then both banks charge the same.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );