document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155058>Question 155058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes 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 #114160 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=114160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let n = # of nickels and d = # of dimes\r<BR>\n" );
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document.write( "Since \"Joe has a collection of nickels and dimes that is worth $5.65\", this means that the first equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05n%2B0.10d=5.65 ALIGN=MIDDLE  ALT=\"0.05n%2B0.10d=5.65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05n%2B0.10d=5.65 ALIGN=MIDDLE  ALT=\"0.05n%2B0.10d=5.65\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B10d=565 ALIGN=MIDDLE  ALT=\"5n%2B10d=565\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <b>every</b> term by 100 to move the decimal point two places to the right (effectively eliminating the decimal)\r<BR>\n" );
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document.write( "Also, since \"the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45\", this tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%28n%2B8%29%2B0.10%282d%29=10.45 ALIGN=MIDDLE  ALT=\"0.05%28n%2B8%29%2B0.10%282d%29=10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%28n%29%2B0.05%288%29%2B0.10%282d%29=10.45 ALIGN=MIDDLE  ALT=\"0.05%28n%29%2B0.05%288%29%2B0.10%282d%29=10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05n%2B0.4%2B0.20d=10.45 ALIGN=MIDDLE  ALT=\"0.05n%2B0.4%2B0.20d=10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B40%2B20d=1045 ALIGN=MIDDLE  ALT=\"5n%2B40%2B20d=1045\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <b>every</b> term by 100 to move the decimal point two places to the right to make the decimal numbers whole.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2Bcross%2840-40%29%2B20d=1045-40 ALIGN=MIDDLE  ALT=\"5n%2Bcross%2840-40%29%2B20d=1045-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 40 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B20d=1005 ALIGN=MIDDLE  ALT=\"5n%2B20d=1005\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract. So this is our second equation\r<BR>\n" );
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document.write( "So we have the system of equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%285n%2B10d=565%2C5n%2B20d=1005%29 ALIGN=MIDDLE  ALT=\"system%285n%2B10d=565%2C5n%2B20d=1005%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B10d=565 ALIGN=MIDDLE  ALT=\"5n%2B10d=565\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n=565-10d ALIGN=MIDDLE  ALT=\"5n=565-10d\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10d ALIGN=MIDDLE  ALT=\"10d\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "Notice how there's a \"5n\" in the second equation. So simply replace the \"5n\" in the second equation with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=565-10d ALIGN=MIDDLE  ALT=\"565-10d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28565-10d%29%2B20d=1005 ALIGN=MIDDLE  ALT=\"%28565-10d%29%2B20d=1005\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n=565-10d ALIGN=MIDDLE  ALT=\"5n=565-10d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10d%2B565=1005 ALIGN=MIDDLE  ALT=\"10d%2B565=1005\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10d%2Bcross%28565-565%29=1005-565 ALIGN=MIDDLE  ALT=\"10d%2Bcross%28565-565%29=1005-565\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 565 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10d=440 ALIGN=MIDDLE  ALT=\"10d=440\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%2810%2F10%29d=440%2F10 ALIGN=MIDDLE  ALT=\"cross%2810%2F10%29d=440%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 10\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=44 ALIGN=MIDDLE  ALT=\"d=44\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So Joe has 44 dimes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B10d=565 ALIGN=MIDDLE  ALT=\"5n%2B10d=565\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the first equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B10%2844%29=565 ALIGN=MIDDLE  ALT=\"5n%2B10%2844%29=565\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=44 ALIGN=MIDDLE  ALT=\"d=44\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n%2B440=565 ALIGN=MIDDLE  ALT=\"5n%2B440=565\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n=125 ALIGN=MIDDLE  ALT=\"5n=125\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 440 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=25 ALIGN=MIDDLE  ALT=\"n=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5 to isolate \"n\"\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So Joe has 25 nickels and 44 dimes </SPAN>\n" );
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