document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099859>Question 1099859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains $7.10 in nickels, dimes, and quarters. There are 42 coins in all, and the sum of the numbers of nickels and dimes is 2 less than the number of quarters. How many coins of each kind are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714359 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 42 - q = q - 2<BR>\n" );
document.write( "add 2 to both sides<BR>\n" );
document.write( "44-q=q<BR>\n" );
document.write( "add q to both sides<BR>\n" );
document.write( "44=2q<BR>\n" );
document.write( "q=22 quarters<BR>\n" );
document.write( "22 q=$5.50<BR>\n" );
document.write( "42-22=20 more coins<BR>\n" );
document.write( "7.10-5.50=$1.60<BR>\n" );
document.write( "160=5n+10d<BR>\n" );
document.write( "n+d=20<BR>\n" );
document.write( "n=20-d<BR>\n" );
document.write( "160=5(20-d)+10d<BR>\n" );
document.write( "160=100-5d+10d<BR>\n" );
document.write( "60=5d<BR>\n" );
document.write( "d=12 dimes<BR>\n" );
document.write( "n=8 nickels<BR>\n" );
document.write( "q=22 quarters<BR>\n" );
document.write( "22=12+8+2\r<BR>\n" );
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document.write( "22*.25=5.50<BR>\n" );
document.write( "8*.05=.40<BR>\n" );
document.write( "12*.10=1.20<BR>\n" );
document.write( "5.50+.40+1.20=7.10<BR>\n" );
document.write( "12+8+22=42<BR>\n" );
document.write( "The sum of the numbers of nickels and dimes (20) is 2 LESS than the number of quarters (22)<BR>\n" );
document.write( "20 is less than 22\r<BR>\n" );
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document.write( "ok\r<BR>\n" );
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document.write( "checking other tutors answers<BR>\n" );
document.write( "20 quarters, 20 dimes and 2 nickels<BR>\n" );
document.write( "20 *.25=5.00<BR>\n" );
document.write( "20 *.10=2.00<BR>\n" );
document.write( "2 *.05=.10<BR>\n" );
document.write( "5.00+2.00+.10=$7.10 ok<BR>\n" );
document.write( "The sum of the numbers of nickels and dimes (22) is 2 LESS (not more) than the number of quarters (20)<BR>\n" );
document.write( "22 is more than 20<BR>\n" );
document.write( "20 quarters, 20 dimes and 2 nickels does NOT satisfy the condition.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );