document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162061>Question 162061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jeremy pays for lunch using 75 coins consisting of quaters and nickels . if the total for his lunch is 13.55, find the number of quaters and nickels  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119432 by </B><A HREF=/tutors/aboutme.mpl?userid=schrammbledeggs><B>schrammbledeggs(41)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=schrammbledeggs><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=119432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = number of quarters<BR>\n" );
document.write( "Let y = number of nickels\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From the first sentence we can get the equation:<BR>\n" );
document.write( "x + y = 75\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From the second sentence we can get the equation:\r<BR>\n" );
document.write( "\n" );
document.write( "0.25x + 0.05y = 13.55\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We can use substitution to find our answer...let's first solve for number of quarters...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We start by solving the first equation for y so we can solve the second equation for x...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x + y = 75<BR>\n" );
document.write( "x + y - x = 75 - x<BR>\n" );
document.write( "y = 75 - x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Plug that value of y into the 2nd equation:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.25x + 0.05 (75 - x) = 13.55<BR>\n" );
document.write( "0.25x + 3.75 - 0.05x = 13.55<BR>\n" );
document.write( "0.20x + 3.75 = 13.55<BR>\n" );
document.write( "0.20x + 3.75 - 3.75 = 13.55 - 3.75<BR>\n" );
document.write( "0.20x = 9.80<BR>\n" );
document.write( "x = 9.80 / 0.20<BR>\n" );
document.write( "x = 49 quarters\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now we can plug our x-value into our original equation:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x + y = 75<BR>\n" );
document.write( "49 + y = 75<BR>\n" );
document.write( "49 + y - 49 = 75 - 49<BR>\n" );
document.write( "y = 26 nickels\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So Jeremy paid for lunch with 49 quarters and 26 nickels.\r<BR>\n" );
document.write( "\n" );
document.write( ":) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );