document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578471>Question 578471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the problem. You need to open a checking account and decide to shop around for a bank. Acme Bank has an account with a $10.00 monthly charge, plus a 25-cent charge per check. Farmer's Bamk will charge you $12 per month, with a 20-cent charge per check. How many checks would you need to write each month to make Farmer's Bank the better deal? \r<BR>\n" );
document.write( "\n" );
document.write( "I know there is a $2.00 difference in the monthly charge and a $.5 difference im the charge per check. I divide the $2.00 by .5 to get 4 checks but I think I am still missing something.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370648 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=370648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let   	n	be the number of 	checks	\r<BR>\n" );
document.write( "\n" );
document.write( "The cost per month for these banks will be								<BR>\n" );
document.write( "Acme Bank			10	+	0.25	n						<BR>\n" );
document.write( "Farmers bank			12	+	0.20	n						<BR>\n" );
document.write( "Acme Bank	>	Farmers bank										<BR>\n" );
document.write( "10	+	0.25	n			>	12	+	0.20	n		<BR>\n" );
document.write( "add  	-10	to both sides										<BR>\n" );
document.write( "10+0.25	n-10	>12+0.20n-10<BR>\n" );
document.write( "0.25n-12>0.2n+	2			<BR>\n" );
document.write( "add  	-0.2	n										<BR>\n" );
document.write( "0.05	n	>	2									<BR>\n" );
document.write( "/	0.05											<BR>\n" );
document.write( "n	<	40										<BR>\n" );
document.write( "n	should be less than 40	for Acme Bank	to be a better deal					<BR>\n" );
document.write( "												<BR>\n" );
document.write( "										CHECK		<BR>\n" );
document.write( "									<BR>\n" );
document.write( "Plan A = Plan B		at	40	checks								<BR>\n" );
document.write( "Plan A( Acme)	10	+	0.25	*	40		=		20	<BR>\n" );
document.write( "Plan B ( farmers)12	+	0.20	*	40		=		20	<BR>\n" );
document.write( "												<BR>\n" );
document.write( "Plan A >Plan B		for 	45	checks								<BR>\n" );
document.write( "Acme Bank			10	+	0.25	*	45		=		21.25	<BR>\n" );
document.write( "Farmers bank			12	+	0.20	*	45		=		21	<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );