document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149033>Question 149033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 17 coins consisting of nickels dimes and quarters are collected for a newspaper vending machine. the total value of the coins is $2.05 and there are 4 more dimes than quarters. find the number of each coin type. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109341 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=109341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d=number of dimes<BR>\n" );
document.write( "n=number of nickels<BR>\n" );
document.write( "q=number of quarters<BR>\n" );
document.write( "coefficient=value of the coin\r<BR>\n" );
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document.write( "d+n+q=17----------------------because there are 17 coins in all<BR>\n" );
document.write( "10d+5n+25q=205----------------because the total value is 205 cents<BR>\n" );
document.write( "d=q+4-------------------------because there are four more dimes than quarters\r<BR>\n" );
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document.write( "Solve for n in the first equation<BR>\n" );
document.write( "n=17-d-q<BR>\n" );
document.write( "plug in d<BR>\n" );
document.write( "n=17-q-4-q or 13-2q\r<BR>\n" );
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document.write( "Plug both d and q in the second equation<BR>\n" );
document.write( "10(q+4)+5(13-2q)+25q=205\r<BR>\n" );
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document.write( "Disitribute<BR>\n" );
document.write( "10q+40+65-10q+25q=205\r<BR>\n" );
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document.write( "Combine like terms<BR>\n" );
document.write( "25q+105=205\r<BR>\n" );
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document.write( "Subtract 105 from both sides<BR>\n" );
document.write( "25q=100\r<BR>\n" );
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document.write( "Divide by 25<BR>\n" );
document.write( "q=4\r<BR>\n" );
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document.write( "number of quarters= 4\r<BR>\n" );
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document.write( "d=q+4<BR>\n" );
document.write( "d=4+4<BR>\n" );
document.write( "d=8\r<BR>\n" );
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document.write( "number of dimes=8\r<BR>\n" );
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document.write( "d+n+q=17<BR>\n" );
document.write( "8+n+4=17\r<BR>\n" );
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document.write( "Simplify<BR>\n" );
document.write( "12+n=17\r<BR>\n" );
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document.write( "Subtract 12<BR>\n" );
document.write( "n=5\r<BR>\n" );
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document.write( "number of nickels=5\r<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "number of quarters= 4<BR>\n" );
document.write( "number of dimes=8<BR>\n" );
document.write( "number of nickels=5 </SPAN>\n" );
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