document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286116>Question 286116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help on this word problem as well. i have the first part but im stuck on the second. The problem is: In Josh's Bank there is a collection on nickles, dimes, and quarters which amount to $3.20. There are 3 times as many quarters as nickles, and 5 more dimes than nickles. How many coins of each type are there? I have the first equation, .5n+.10d+.25q=3.20 but i cant figure out the second part. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207472 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=207472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In solving money problems you have to keep track of the counts for the different coins as well as their values.<BR>\n" );
document.write( "n = number of nickels<BR>\n" );
document.write( "5n = value of the nickels in cents<BR>\n" );
document.write( "d = number of dimes<BR>\n" );
document.write( "10d = value of the dimes in cents<BR>\n" );
document.write( "q = number of quarters<BR>\n" );
document.write( "25q = value of quarters in cents<BR>\n" );
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document.write( "$3.20 = 320 cents = 5n + 10d + 25q<BR>\n" );
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document.write( "It is important to have everything in cents to avoid mismatched dollars and cents.<BR>\n" );
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document.write( "q = 3n  :: There are 3 times as many quarters as nickels, so you would have multiply n by 3 to be equal.<BR>\n" );
document.write( "d = n+5  :: There are 5 more dimes than nickels.<BR>\n" );
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document.write( "So, we can substitute what we know into the value equation.<BR>\n" );
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document.write( "5n + 10d + 25q = 320<BR>\n" );
document.write( "5n + 10(n+5) + 25(3n) = 320<BR>\n" );
document.write( "5n + 10n + 50 + 75n = 320<BR>\n" );
document.write( "90n = 270<BR>\n" );
document.write( "n = 3<BR>\n" );
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document.write( "Substituting n=3 we can find d and q.<BR>\n" );
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document.write( "d = n+5 = 3+5 = 8<BR>\n" );
document.write( "q = 3n = 3*3 = 9<BR>\n" );
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document.write( "Check the work by making sure the value of these coin counts is $3.20.<BR>\n" );
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document.write( "5n = 5(3) = 15 = $0.15<BR>\n" );
document.write( "10d = 10(8) = 80 = $0.80<BR>\n" );
document.write( "25q = 25(9) = 225 = $2.25<BR>\n" );
document.write( "$0.15+$0.80+$2.25 = $3.20<BR>\n" );
document.write( "Correct!<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "nickels = 3<BR>\n" );
document.write( "dimes = 8<BR>\n" );
document.write( "quarters = 9<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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