document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164621>Question 164621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question is for Applications of Linear Equations.<BR>\n" );
document.write( "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 #121341 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Joe has a collection of nickels and dimes that is worth $5.65. If the number of<BR>\n" );
document.write( " dimes were doubled and the number of nickels were increased by 8,the value of<BR>\n" );
document.write( " the coins would be $10.45. How many dimes does he have?<BR>\n" );
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document.write( "n = no. of dimes<BR>\n" );
document.write( "d = no. of nickels<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( "\"Joe has a collection of nickels and dimes that is worth $5.65.\"<BR>\n" );
document.write( ".05n + .10d = 5.65<BR>\n" );
document.write( ";<BR>\n" );
document.write( "\"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.\"<BR>\n" );
document.write( ".05(n+8) + .10(2d) = 10.45<BR>\n" );
document.write( ".05n + .40 + .20d = 10.45<BR>\n" );
document.write( ".05n + .20d = 10.45 - .40<BR>\n" );
document.write( ".05n + .20d = 10.05<BR>\n" );
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document.write( "Multiply the 1st equation by 2, subtract the above equation from it:<BR>\n" );
document.write( ".10n + .20d = 11.30<BR>\n" );
document.write( ".05n + .20d = 10.05<BR>\n" );
document.write( "---------------------subtraction eliminates d<BR>\n" );
document.write( ".05n = 1.25<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.25%2F.05 ALIGN=MIDDLE  ALT=\"1.25%2F.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 25 nickels <BR>\n" );
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document.write( "How many dimes does he have?<BR>\n" );
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document.write( "Use the 1st equation to find d, substitute 25 for n<BR>\n" );
document.write( ".05(25) + .10d = 5.65<BR>\n" );
document.write( "1.25 + .10d = 5.65<BR>\n" );
document.write( ".10d = 5.65 - 1.25<BR>\n" );
document.write( ".10d = 4.40<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.40%2F.10 ALIGN=MIDDLE  ALT=\"4.40%2F.10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 44 dimes<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Confirm our solutions, using the 2nd statement: 33 nickels and 88 dimes<BR>\n" );
document.write( ".05(33) + .10(88) = 10.45<BR>\n" );
document.write( "1.65 + 8.80 = 10.45 </SPAN>\n" );
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