document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979652>Question 979652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A purse contains 22 coins. Some of the coins are nickels and some are dimes. The total value of the coins is $1.45. How many dimes are in the purse? Write a system of equations, and then solve. State the system of equations, and then the solution. <BR>\n" );
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document.write( "n represent the number of nickels<BR>\n" );
document.write( "d represent the number of dimes<BR>\n" );
document.write( "Write two equations: <BR>\n" );
document.write( "n+?=22 This equation is based on the number of coins.<BR>\n" );
document.write( "0.05 +?d=1.45 This equation is based on the value of the money. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600946 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52814)</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=600946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The system of equation is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28n+%2B+d+=+22%2C%0D%0A0.05%2An+%2B+0.10%2Ad+=+1.45%29 ALIGN=MIDDLE  ALT=\"system%28n+%2B+d+=+22%2C%0D%0A0.05%2An+%2B+0.10%2Ad+=+1.45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To solve it, &nbsp;express &nbsp;<B>n</B>&nbsp; from the first equation and substitute into the second one. &nbsp;You will get\r<BR>\n" );
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document.write( "n = 22 - d, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;--->\r<BR>\n" );
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document.write( "0.05*(22-d) + 0.1*d = 1.45,\r<BR>\n" );
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document.write( "Solve the last equation by simplifying it step by step:\r<BR>\n" );
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document.write( "1.10 - 0.05*d + 0.1*d = 1.45,\r<BR>\n" );
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document.write( "(0.1 - 0.05)*d = 1.45 - 1.10,\r<BR>\n" );
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document.write( "0.05*d = 0.35,\r<BR>\n" );
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document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.35%2F0.05 ALIGN=MIDDLE  ALT=\"0.35%2F0.05\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7.\r<BR>\n" );
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document.write( "Thus we find the number of dimes: &nbsp;d = 7.\r<BR>\n" );
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document.write( "Now, &nbsp;the number of nickels is &nbsp;d = 22 - 7 = 15.\r<BR>\n" );
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document.write( "<U>Check</U>: &nbsp;5*15 + 7*10 = 75 + 70 = 145 = $1.45. \r<BR>\n" );
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document.write( "<B>Answer</B>. &nbsp;15 nickels &nbsp;and &nbsp;7 dimes. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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