document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68147>Question 68147</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400329/algebrahomeworkh>Algebra for College Students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hector has a collection of nickels, dimes, and quarters totaling 122 coins.  The number of dimes he has is 3 more than four times the number of nickels, and the number of quarters he has is 19 less than the number of dimes.  How many coins of each kind does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48479 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=48479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hector has a collection of nickels, dimes, and quarters totaling 122 coins.  The number of dimes he has is 3 more than four times the number of nickels, and the number of quarters he has is 19 less than the number of dimes.  How many coins of each kind does he have?<BR>\n" );
document.write( "Let the number of Nickels be:x<BR>\n" );
document.write( "Then the number of dimes is (3 more that 4 times nickels): 4x+3<BR>\n" );
document.write( "Then the number of quarters is (19 less thatn the number of dimes: 4x+3-19=4x-16<BR>\n" );
document.write( "The equation to solve is:<BR>\n" );
document.write( "Nickels+dimes+quarters=122<BR>\n" );
document.write( "(x)+(4x+3)+(4x-16)=122<BR>\n" );
document.write( "9x-13=122<BR>\n" );
document.write( "9x-13+13=122+13<BR>\n" );
document.write( "9x+135<BR>\n" );
document.write( "9x/9=135/9<BR>\n" );
document.write( "x=15<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Nickels: x=15<BR>\n" );
document.write( "Dimes:4x+3=4(15)+3=63<BR>\n" );
document.write( "Quarters: 4x-16=4(15)-16=44<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Sanity check, do 15 nickels+63 dimes + 44 Quarters=122 coins?<BR>\n" );
document.write( "15+63+44=122<BR>\n" );
document.write( "122=122 Yes. I think we've got it!<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );