document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207651>Question 1207651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Iris jolene and Karen bought a gift. They shared the cost among themselves. Iris and jolene made up 3/5 of the sum of money. Iris and Karen made up 13/20 of the sum of money. Jolene and Karen paid $195 altogether. How much more money did jolene pay than Iris. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845643 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13208)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let I, J, and K represent the amounts Iris, Jolene, and Karen contributed, respectively.<br><BR>\n" );
document.write( "Let x be the total cost.<br><BR>\n" );
document.write( "Then....<br><BR>\n" );
document.write( "I+J = (3/5)x<BR>\n" );
document.write( "I+K = (13/20)x<br><BR>\n" );
document.write( "Add the two equations:<br><BR>\n" );
document.write( "2I+J+K= (3/5)x + (13/20)x = (12/20)x + (13/20)x = (25/20)x = (5/4)x<br><BR>\n" );
document.write( "But<br><BR>\n" );
document.write( "I+J+K = x<br><BR>\n" );
document.write( "so<br><BR>\n" );
document.write( "I = (2I+J+K)-(I+J+K) = (5/4)x-x = (1/4)x<br><BR>\n" );
document.write( "So Iris paid 1/4 of the total, which means Jolene and Karen together paid 3/4 of the total.  Jolene and Karen together spent $195:<br><BR>\n" );
document.write( "(3/4)x = 195<BR>\n" );
document.write( "x = 195*(4/3) = 260<br><BR>\n" );
document.write( "The total cost was $260.<br><BR>\n" );
document.write( "So the amount Iris paid was 1/4 of $260, or $65.<br><BR>\n" );
document.write( "Iris and Karen together paid 13/20 of the total; Iris and Jolene together paid 3/5 of the total.  The difference between those amounts is the difference between what Karen paid and what Jolene paid:<br><BR>\n" );
document.write( "I+K = (13/20)x<BR>\n" );
document.write( "I+J = (12/20)x<BR>\n" );
document.write( "K-J = (I+K) - (I+J) = (1/20)x<br><BR>\n" );
document.write( "Karen spent (1/20)x = $13 more than Jolene; and together the two of them spent $195.  Use formal algebra or informal logical reasoning and simple arithmetic to determine that Karen spent $104 and Jolene spent $91.<br><BR>\n" );
document.write( "Now we have the amounts that each of them spent:<br><BR>\n" );
document.write( "Iris: $65<BR>\n" );
document.write( "Jolene: $91<BR>\n" );
document.write( "Karen: $104<br><BR>\n" );
document.write( "ANSWER: Jolene spent $91-$65 = $26 more than Iris.<br><BR>\n" );
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