document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=656591>Question 656591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hank has a pocketful of nickels, dimes, and quarters. He has 18 coins in all, worth $2.00. Find how many of each coin he has if he has twice as many dimes as nickels?\r<BR>\n" );
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document.write( "I tried setting up a chart but i didn't know what to put for the quarters box and amount of item column. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409564 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=409564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hank has a pocketful of nickels, dimes, and quarters. He has 18 coins in all, worth $2.00. Find how many of each coin he has if he has twice as many dimes as nickels?\r<BR>\n" );
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document.write( "I tried setting up a chart but i didn't know what to put for the quarters box and amount of item column.\r<BR>\n" );
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document.write( "Let the amount of nickels, dimes, and quarters be N, D, and Q, respectively\r<BR>\n" );
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document.write( "Then: N + D + Q = 18 ----- eq (i)<BR>\n" );
document.write( "Also, D = 2N ---- eq (ii)\r<BR>\n" );
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document.write( "N + 2N + Q = 18 ---- Substituting 2N for D in eq (i) ---- 3N + Q = 18 ---- eq (iii)\r<BR>\n" );
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document.write( "Since value of all coins = $2, then: .05N + .1(2N) + .25Q = 2 ---- .25N + .25Q = 2 ----- eq (iv)\r<BR>\n" );
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document.write( "We now have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283N+%2B+Q+=+18________eq+%28iii%29%2C%0D%0A.25N+%2B+.25Q+=+2_____+eq+%28iv%29%29 ALIGN=MIDDLE  ALT=\"system%283N+%2B+Q+=+18________eq+%28iii%29%2C%0D%0A.25N+%2B+.25Q+=+2_____+eq+%28iv%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "- .75N - .25Q = - 4.5 ------ Multiplying eq (iii) by - .25 ----- eq (v)<BR>\n" );
document.write( ".25N + .25Q = 2 ------ eq (iv)<BR>\n" );
document.write( "- .5N = - 2.5 ----- Adding eqs (v) & (iv)<BR>\n" );
document.write( "N, or amount of nickels = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-+2.5%29%2F-+.5 ALIGN=MIDDLE  ALT=\"%28-+2.5%29%2F-+.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%285%29 ALIGN=MIDDLE  ALT=\"highlight_green%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "D = 2(5) ---- Substituting 5 for N in eq (ii)<BR>\n" );
document.write( "D, or amount of dimes = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2810%29 ALIGN=MIDDLE  ALT=\"highlight_green%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3(5) + Q = 18 ---- Substituting 5 for N in eq (iii)<BR>\n" );
document.write( "15 + Q = 18<BR>\n" );
document.write( "Q = 18 - 15\r<BR>\n" );
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document.write( "Q, or amount of quarters = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll leave the check up to you!!!\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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