document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=495561>Question 495561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bank contains nickels,dimes,and quarters with a total value of $3.05. the number of quarters is three less than the number of nickels and the number of dimes is two more than 3 times the number of nickels. how many coins of each type are in the bank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336116 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=336116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With money problems you have to keep track of the counts of the various coins and their values.<BR>\n" );
document.write( "n = number of nickels<BR>\n" );
document.write( "5n = value of n nickels in cents<BR>\n" );
document.write( "d = number of dimes<BR>\n" );
document.write( "10d = value of d dimes in cents<BR>\n" );
document.write( "q = number of quarters<BR>\n" );
document.write( "25q = value of q quarters in cents<BR>\n" );
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document.write( "5n + 10d + 25q = 305 cents<BR>\n" );
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document.write( "q is 3 less than n, which means:<BR>\n" );
document.write( "q = n -3<BR>\n" );
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document.write( "d is 2 more than 3 times n<BR>\n" );
document.write( "d = 3n + 2<BR>\n" );
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document.write( "substitute the values of d and q:<BR>\n" );
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document.write( "5n + 10(3n+2) + 25(n-3) = 305<BR>\n" );
document.write( "5n + 30n +20 + 25n - 75 = 305<BR>\n" );
document.write( "60n -55 = 305<BR>\n" );
document.write( "60n = 360<BR>\n" );
document.write( "n = 6<BR>\n" );
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document.write( "substitute back into your setup equations:<BR>\n" );
document.write( "q = n-3<BR>\n" );
document.write( "q = 6 -3<BR>\n" );
document.write( "q = 3<BR>\n" );
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document.write( "d = 3n +2<BR>\n" );
document.write( "d = 3(6) + 2<BR>\n" );
document.write( "d = 20<BR>\n" );
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document.write( "So, we think:<BR>\n" );
document.write( "n = 6<BR>\n" );
document.write( "d = 20<BR>\n" );
document.write( "q = 3<BR>\n" );
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document.write( "Always check your answer.<BR>\n" );
document.write( "5n = 5*6 = 30 cents<BR>\n" );
document.write( "10d = 10*20 = 200 cents<BR>\n" );
document.write( "25q = 25*3 = 75 cents<BR>\n" );
document.write( "30 + 75 + 200 = 305 cents<BR>\n" );
document.write( "Correct!<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "The bank contains 6 nickels, 20 dimes, and 3 quarters.<BR>\n" );
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document.write( "Done.\r<BR>\n" );
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document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );