document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392072>Question 392072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of 90 coins, pennies, nickels, and dimes, has a value of $2.85. If there are twice as may pennies as there are nickels and dimes combined, how many pennies, dimes, and nickels are there?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278275 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=278275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A collection of 90 coins, pennies, nickels, and dimes, has a value of $2.85. If there are twice as may pennies as there are nickels and dimes combined, how many pennies, dimes, and nickels are there?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x nickels<BR>\n" );
document.write( "y dimes<BR>\n" );
document.write( "z pennies<BR>\n" );
document.write( "..<BR>\n" );
document.write( "z= 2(x+y)...................1<BR>\n" );
document.write( "x+y+z=90.....................2<BR>\n" );
document.write( "5x+10y+z=285.................3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "plug z in (2) & (3)<BR>\n" );
document.write( "x+y+2(x+y) = 90<BR>\n" );
document.write( "(x+y+x+y)= 90<BR>\n" );
document.write( "3x+3y=90<BR>\n" );
document.write( "/3<BR>\n" );
document.write( "x+y = 30,,,,,,,,,,,,,,4<BR>\n" );
document.write( "...<BR>\n" );
document.write( "5x+10y+z= 285<BR>\n" );
document.write( "5x+10y +2(x+y) = 285<BR>\n" );
document.write( "7x+12y=285,,,,,,,,,,,,,5<BR>\n" );
document.write( "...<BR>\n" );
document.write( "multiply (4) by -7<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "-7x-7y=-210\r<BR>\n" );
document.write( "\n" );
document.write( "add to (5)<BR>\n" );
document.write( "5y=75<BR>\n" );
document.write( "y=15 dimes<BR>\n" );
document.write( "from (4) x+y =30<BR>\n" );
document.write( "x+15=30<BR>\n" );
document.write( "x= 15 nickels<BR>\n" );
document.write( "balance 15 are pennies<BR>\n" );
document.write( "60 pennies, 15 dimes,15 nickels<BR>\n" );
document.write( "...<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "60+150+75=285 <BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca<BR>\n" );
document.write( "...<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );