document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058143>Question 1058143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kendra has <BR>\n" );
document.write( "$6.30<BR>\n" );
document.write( "in nickels and quarters. If she has <BR>\n" );
document.write( "12<BR>\n" );
document.write( "more quarters than nickels, how many of each coin does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673173 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=673173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the number of quarters, and let y represent the number of nickels.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The total value of the coins is then:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.25x + 0.05y = 6.30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since she has 12 more quarters than nickels, you know that:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = y + 12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substituting for x in the first equation gives\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.25(y + 12) + 0.05y = 6.30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.25y + 3 + 0.05y = 6.30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.30y + 3 = 6.30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.30y = 6.30 - 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.30y = 3.30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 3.30 / 0.30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 11\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = y + 12 = 11 + 12 = 23\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solution: She has 23 quarters and 11 nickels.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.25(23) + 0.05(11) = 5.75 + 0.55 = 6.30 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );