document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=373815>Question 373815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can not figure this out!!!<BR>\n" );
document.write( "Suppose a meter accepts nickels, dimes and quarters. You inserted a total of 32 coins with a value of $6.80. How many of each coin did you insert?\r<BR>\n" );
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document.write( "This is in the Systems of Equations section of my textbook but I've also been told that it maybe a diophantine equation. I know for a system of equations with three varibles you need 3 equations. I have figured out two of the equations. \r<BR>\n" );
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document.write( "n+d+q=32    and  .05n+.10d+.25q=6.80  but from there it goes blank! I appreciate any help anyone can offer!! Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266053 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=266053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose a meter accepts nickels, dimes and quarters. You inserted a total of 32 coins with a value of $6.80. How many of each coin did you insert?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "n+d+q=32<BR>\n" );
document.write( "5n+10d+25q=680<BR>\n" );
document.write( "multiply first equation by -25<BR>\n" );
document.write( "-25n-25d-25q=-800<BR>\n" );
document.write( "add it to the second equation<BR>\n" );
document.write( "-20n-15d=-120<BR>\n" );
document.write( "20n+15d=120<BR>\n" );
document.write( "/5<BR>\n" );
document.write( "4n+3d=24<BR>\n" );
document.write( "4n = 24-3d<BR>\n" );
document.write( "4n= 6-0.75d<BR>\n" );
document.write( "1 nickel = 5 cents<BR>\n" );
document.write( "..<BR>\n" );
document.write( "n= 6 -0.75d<BR>\n" );
document.write( "n has to be an integer.<BR>\n" );
document.write( "so 0.75d has to be an integer<BR>\n" );
document.write( "the smallest value of d should be an integer and less than 6\r<BR>\n" );
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document.write( "For d = 4 <BR>\n" );
document.write( "(0.75 d = 3 is an integer)<BR>\n" );
document.write( "n= 6-3<BR>\n" );
document.write( "n=3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "d = 4, n =3 so q= 25<BR>\n" );
document.write( "4*10+3*5+25*25=680<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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