document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157473>Question 157473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While cleaning out the closet, John found a box of coins.  The box contained nickels, dimes, and quarters.  He added up the change and found that there were 85 coins totaling $6.25 in the box.  If there were 3 times as many nickels as dimes, how many quarters were there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116083 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=116083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of nickels<BR>\n" );
document.write( "And let y=number of dimes<BR>\n" );
document.write( "And z=number of quarters\r<BR>\n" );
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document.write( "Now we are told that:<BR>\n" );
document.write( "x+y+z=85---------------------------------eq1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "0.05x+0.10y+0.25z=6.25--------------------eq2<BR>\n" );
document.write( "and<BR>\n" );
document.write( " x=3y--------------------------------------eq3\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute eq3 into eq1 and eq2<BR>\n" );
document.write( "3y+y+z=85 or<BR>\n" );
document.write( "4y+z=85---------------------------------------eq1a<BR>\n" );
document.write( "and<BR>\n" );
document.write( "0.15y+0.10y+0.25z=6.25 or<BR>\n" );
document.write( "0.25y+0.25z=6.25  divide each term by 0.25<BR>\n" );
document.write( "y+z=25---------------------------------------------eq2a\r<BR>\n" );
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document.write( "subtract eq2a from eq1a:<BR>\n" );
document.write( "3y=60  divide each side by 3\r<BR>\n" );
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document.write( "y=20--------------------------------number of dimes\r<BR>\n" );
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document.write( "substitute y=20 into eq3<BR>\n" );
document.write( "x=3*20=60--------------------------number of nickels\r<BR>\n" );
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document.write( "substitute y=20 and x=60 into eq1<BR>\n" );
document.write( "80+z=85<BR>\n" );
document.write( "z=5-----------------------------NUMBER OF QUARTERS-----ANS\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "0.05*60+0.10*20+0.25*5=6.25<BR>\n" );
document.write( "3.00+2.00+1.25=6.25<BR>\n" );
document.write( "6.25=6.25<BR>\n" );
document.write( "and<BR>\n" );
document.write( "20+60+5=85<BR>\n" );
document.write( "85=85\r<BR>\n" );
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document.write( "Hope this helps--ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );