document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=717739>Question 717739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Luis and Julia have the same number of coins. Luis only has dimes and Julia has only quaters. If Julia has $1.80 more than luis does, how many coins does each have?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440515 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=440515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let c = number of coins each has.<BR>\n" );
document.write( "Let L = the value of Luis' coins, in cents<BR>\n" );
document.write( "Let J = value of Julia's coins, in cents<BR>\n" );
document.write( "Then we have<BR>\n" );
document.write( "(1) J - L = 180<BR>\n" );
document.write( "where we use 180 cents instead of $1.80.<BR>\n" );
document.write( "Since Luis has only dimes, the value of his coins is 10*c, and Julia's quarters are worth 25*c. Put L and J into (1) to get<BR>\n" );
document.write( "(2) 25*c - 10*c = 180 or<BR>\n" );
document.write( "(3) 15*c = 180 or<BR>\n" );
document.write( "(4) c = 12<BR>\n" );
document.write( "Let's check this value using (1).<BR>\n" );
document.write( "Is (25*12 - 10*12 = 180)?<BR>\n" );
document.write( "Is (300 - 120 = 180)?<BR>\n" );
document.write( "Is (180 = 180)? Yes<BR>\n" );
document.write( "Answer: Luis and Julia each have 12 coins. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );