document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5378>Question 5378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The petty-cash drawer of a small office contained $16.25. If there were twice as many nickels as quarters and as many dimes as nickels and quarters combined; how many coins of each type were there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2745 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the number of quarters<BR>\n" );
document.write( "Let 2x = number of nickels (twice as many as quarters)<BR>\n" );
document.write( "Let (2x+x) = the number of dimes (as many dimes as quarters and nickels combined)<BR>\n" );
document.write( "Let's work in cents, rather than dollars for this equation:\r<BR>\n" );
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document.write( "Total value = 1,625 cents\r<BR>\n" );
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document.write( "The total value of each of these coins is determined by multiplying the value by the number of coins (If I have two nickels worth 5 cents, then 2*5=10 - I have 10 cents worth of coins):\r<BR>\n" );
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document.write( "let 5(2x) = the total value of nickels<BR>\n" );
document.write( "let 10(2x+x) = the total value of dimes<BR>\n" );
document.write( "let 25x = the total value of quarters\r<BR>\n" );
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document.write( "Total value = value of nickels + value of dimes + value of quarters<BR>\n" );
document.write( "1625 = 5(2x) + 10(2x+x) + 25x<BR>\n" );
document.write( "1625 = 10x + (20x+10x) + 25x<BR>\n" );
document.write( "1625 = 65x<BR>\n" );
document.write( "divide both sides by 65<BR>\n" );
document.write( "25 = x\r<BR>\n" );
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document.write( "So the number of quarters = 25<BR>\n" );
document.write( "The number of nickels is twice that, or 50<BR>\n" );
document.write( "and the number of dimes is the same as the nickels and quarters, or 75\r<BR>\n" );
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document.write( "Check by looking at the values:<BR>\n" );
document.write( "25 quarters = $6.25<BR>\n" );
document.write( "50 nickels = $2.50<BR>\n" );
document.write( "75 dimes = $7.50\r<BR>\n" );
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document.write( "6.25 + 2.5 +7.5 = 16.25\r<BR>\n" );
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document.write( " </SPAN>\n" );
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