document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670863>Question 670863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure how to figure out a coin problem without how much it's worth for example: A bank contains 44 coins (nickles, dimes, quarters). There are twice as many dimes as nickles and 8 fewer nickles than quarters. How much money is in the bank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852495 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53266)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "I am not sure how to figure out a coin problem without how much it's worth for example: <BR>\n" );
document.write( "A bank contains 44 coins (nickles, dimes, quarters). There are twice as many dimes as nickles <BR>\n" );
document.write( "and 8 fewer nickles than quarters. How much money is in the bank?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I will give a simple, &nbsp;straightforward, &nbsp;short and instructive solution,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;using only one single equation in one single unknown.\r<BR>\n" );
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document.write( "Let x be the number of nickels.\r\n" );
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document.write( "Then the number of dimes is 2x, according to the problem,\r\n" );
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document.write( "and the number of quarters is (x+8).\r\n" );
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document.write( "Having this, write equation for the total number of coins\r\n" );
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document.write( "    x + 2x + (x+8) = 44.    (here 44 is the given total number of coins).\r\n" );
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document.write( "Simplify this equation and find x\r\n" );
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document.write( "    4x + 8 = 44,\r\n" );
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document.write( "    4x = 44 - 8 = 36,\r\n" );
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document.write( "     x =36/4 = 9.\r\n" );
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document.write( "So, there are 9 nickels in the bank,  2*9 = 18 dimes and 9+8 = 17 quarters.\r\n" );
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document.write( "Now you can easily find the value of the bank\r\n" );
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document.write( "    5*9 + 10*18 + 17*25 = 650 cents,  or 6.50 dollars.\r\n" );
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document.write( "<U>ANSWER</U>.  The value of the bank is $6.50.\r\n" );
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document.write( "Solved and explained in a simple and instructive way, using only one unknown,<BR>\n" );
document.write( "and without introducing system of equation, which is not necessary here.\r<BR>\n" );
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document.write( "I wrote this my solution as an alternative to the long, &nbsp;wordy solution by &nbsp;@Theo.\r<BR>\n" );
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document.write( "We live now at the time when every our solution, &nbsp;produced at this forum,<BR>\n" );
document.write( "goes directly to the database for &nbsp;Artificial &nbsp;Intelligence.\r<BR>\n" );
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document.write( "So not tens, &nbsp;but tens millions students/readers will read them.\r<BR>\n" );
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document.write( "While &nbsp;10 &nbsp;years ago so wordy solutions as in the posts by &nbsp;@Theo <BR>\n" );
document.write( "did not cause protest, &nbsp;now they become &nbsp;INAPPROPRIATE <BR>\n" );
document.write( "for teaching millions of readers of &nbsp;AI.\r<BR>\n" );
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document.write( "It is why I work here now checking and re-developing many @Theo' solutions.\r<BR>\n" );
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document.write( "Because they &nbsp;SHOULD &nbsp;BE &nbsp;re-developed.\r<BR>\n" );
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