document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588029>Question 588029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Heather has $2.50 in nickels, dimes and quarters. She has three times as many nickels as dimes and four times as many quarters as dimes.<BR>\n" );
document.write( "a. Write an equation that relates the number of each kind of coin to the amount of money that Heather has.<BR>\n" );
document.write( "b. How many of each kind of coin does heather have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374366 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Heather has $2.50 in nickels, dimes and quarters.<BR>\n" );
document.write( " She has three times as many nickels as dimes and four times as many quarters as dimes.<BR>\n" );
document.write( "a. Write an equation that relates the number of each kind of coin to the amount of money that Heather has.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The total value equation<BR>\n" );
document.write( ".05n + .10d + .25q = 2.50<BR>\n" );
document.write( "\"three times as many nickels as dimes\"<BR>\n" );
document.write( "n = 3d<BR>\n" );
document.write( "\"four times as many quarters as dimes.\"<BR>\n" );
document.write( "q = 4d<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. How many of each kind of coin does heather have?<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".05n + .10d + .25q = 2.50<BR>\n" );
document.write( "replace n and q using the above equations<BR>\n" );
document.write( ".05(3d) + .10d + .25(4d) = 2.50<BR>\n" );
document.write( ".15d + .10d + 1.00d = 2.50<BR>\n" );
document.write( "1.25d = 2.50<BR>\n" );
document.write( "d = 2.50/1.25<BR>\n" );
document.write( "d = 2 dimes<BR>\n" );
document.write( "then<BR>\n" );
document.write( "n = 3(2)<BR>\n" );
document.write( "n = 6 nickels<BR>\n" );
document.write( "and<BR>\n" );
document.write( "q = 4(2)<BR>\n" );
document.write( "q = 8 quarters<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check these solution in the value equation<BR>\n" );
document.write( ".05(6) - .10(2) + .25(8) = <BR>\n" );
document.write( ".30 = .20 + 2.00 = 2.50 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );