document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697510>Question 697510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have $1 coin, $5 coin and a 25c. $1 coin is 3 more than thrice the number of $5 coin. If I have a total of 24 coins, how many $5 do I have if the total money I have is $36.25?\r<BR>\n" );
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document.write( "In my calculation the answer is 5. There are 5 $5 coins.<BR>\n" );
document.write( "If that is true, my collection of coins doesn't sum up to $36.25.\r<BR>\n" );
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document.write( "So what's the correct answer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430087 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = the number of 25c coins<BR>\n" );
document.write( "Let b = the number of $1 coins<BR>\n" );
document.write( "Let c = the number of $5 coins<BR>\n" );
document.write( "Given: b = 3c + 3 [3 more than thrice the number of $5 coins]<BR>\n" );
document.write( "The total number of coins is 24 -> a + b + c = 24<BR>\n" );
document.write( "And the total amount is 36.25 -> 0.25a + b + 5c = 36.25<BR>\n" );
document.write( "Substitute the value for b in the last two equations:<BR>\n" );
document.write( "a + (3c+3) + c = 24<BR>\n" );
document.write( "0.25a + (3c+3) + 5c = 36.25<BR>\n" );
document.write( "Collect terms:<BR>\n" );
document.write( "a + 4c = 21<BR>\n" );
document.write( "0.25a + 8c = 33.25<BR>\n" );
document.write( "We have two equations and two unknowns<BR>\n" );
document.write( "Use whatever method you choose to solve for c<BR>\n" );
document.write( "Ans: c = 4 </SPAN>\n" );
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