document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2545>Question 2545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> David has 40 coins in his bank. If the coins consists of quarters and dimes and value $7.60, how many of each coin does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1081 by </B><A HREF=/tutors/aboutme.mpl?userid=kiru_khandelwal><B>kiru_khandelwal(79)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kiru_khandelwal><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the <BR>\n" );
document.write( "number of quarters = x<BR>\n" );
document.write( "number of dimes = y\r<BR>\n" );
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document.write( "Since david has 40 coins, so<BR>\n" );
document.write( "x+y = 40 ...........Equation (1)\r<BR>\n" );
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document.write( "1 quarter = 25 cents...so x quarters = 25*x cents<BR>\n" );
document.write( "1 dime = 10 cents.....so y dimes = 10*y cents<BR>\n" );
document.write( "$7.60 = 7.60 * 100 = 760 cents\r<BR>\n" );
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document.write( "Since the total value is $7.60 or 760 cents<BR>\n" );
document.write( "Therefore, <BR>\n" );
document.write( "25x+10y = 760.........Equation (2)\r<BR>\n" );
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document.write( "Solving equation (2)<BR>\n" );
document.write( "5*5x + 5*2y = 5*152<BR>\n" );
document.write( "=> 5(5x+2y) = 5(152)<BR>\n" );
document.write( "=> 5x+2y=152.........Equation (3)\r<BR>\n" );
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document.write( "From Equation(1)<BR>\n" );
document.write( "y = 40-x\r<BR>\n" );
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document.write( "Substituting the value of y in Equation(3)<BR>\n" );
document.write( "5x + 2y = 152<BR>\n" );
document.write( "=>  5x + 2(40-x) = 152<BR>\n" );
document.write( "=>  5x + 80 - 2x = 152<BR>\n" );
document.write( "=>  3x = 152-80<BR>\n" );
document.write( "=>  3x = 72<BR>\n" );
document.write( "=>  x = 24<BR>\n" );
document.write( "Therefore, No. of Quarters = 24\r<BR>\n" );
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document.write( "As, y = 40 -x<BR>\n" );
document.write( "=> y = 40-24 = 16<BR>\n" );
document.write( "Number of dimes = 16\r<BR>\n" );
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document.write( "Hence solved </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );