document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278824>Question 278824</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 #202815 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=202815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set-Up<BR>\n" );
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document.write( "Let A = Number of Nickels<BR>\n" );
document.write( "Let b = Number of Dimes<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2A0.05+%2B+B%2A0.1+=+5.65 ALIGN=MIDDLE  ALT=\"A%2A0.05+%2B+B%2A0.1+=+5.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A+%2B+8%29%2A0.05+%2B+2%2AB%2A0.1+=+10.45 ALIGN=MIDDLE  ALT=\"%28A+%2B+8%29%2A0.05+%2B+2%2AB%2A0.1+=+10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Solution:<BR>\n" );
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document.write( "You can divide every term in equation 1 by .05<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2A0.05+%2B+B%2A0.1+=+5.65 ALIGN=MIDDLE  ALT=\"A%2A0.05+%2B+B%2A0.1+=+5.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+2B+=+113 ALIGN=MIDDLE  ALT=\"A+%2B+2B+=+113\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2B from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+113+-+2B ALIGN=MIDDLE  ALT=\"A+=+113+-+2B\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now we can plug (113 - 2B) into equation 2 for A<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A+%2B+8%29%2A0.05+%2B+2%2AB%2A0.1+=+10.45 ALIGN=MIDDLE  ALT=\"%28A+%2B+8%29%2A0.05+%2B+2%2AB%2A0.1+=+10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28113+-+2B%29+%2B+8%29%2A0.05+%2B+2%2AB%2A0.1+=+10.45 ALIGN=MIDDLE  ALT=\"%28%28113+-+2B%29+%2B+8%29%2A0.05+%2B+2%2AB%2A0.1+=+10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28121+-+2B%29%2A0.05+%2B+B%2A0.2+=+10.45 ALIGN=MIDDLE  ALT=\"%28121+-+2B%29%2A0.05+%2B+B%2A0.2+=+10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.05+-+0.1%2AB+%2B+0.2%2AB+=+10.45 ALIGN=MIDDLE  ALT=\"6.05+-+0.1%2AB+%2B+0.2%2AB+=+10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.05+%2B+0.1B+=+10.45 ALIGN=MIDDLE  ALT=\"6.05+%2B+0.1B+=+10.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6.05 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.1B+=+4.40 ALIGN=MIDDLE  ALT=\"0.1B+=+4.40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 0.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B+=+44%29 ALIGN=MIDDLE  ALT=\"highlight%28B+=+44%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now plug 44 into the modified equation 1 for B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+113+-+2B ALIGN=MIDDLE  ALT=\"A+=+113+-+2B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+113+-+2%2A%2844%29 ALIGN=MIDDLE  ALT=\"A+=+113+-+2%2A%2844%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+113+-+88 ALIGN=MIDDLE  ALT=\"A+=+113+-+88\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A+=+25%29 ALIGN=MIDDLE  ALT=\"highlight%28A+=+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );