document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140528>Question 1140528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basket of oranges were divided among Tina, Rick and Ken. Tina received 5 more than half of the oranges. Rick received 4 more than half of the remaining oranges.  Ken received half of the remainder, plus the last 3 oranges. What percentage of the oranges did Ken receive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761109 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=761109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A basket of oranges were divided among Tina, Rick and Ken.<BR>\n" );
document.write( "A = t + r + k<BR>\n" );
document.write( " Tina received 5 more than half of the oranges.<BR>\n" );
document.write( "t = .5A + 5 Tina's amt<BR>\n" );
document.write( "then<BR>\n" );
document.write( "A - (.5A+5)<BR>\n" );
document.write( "(.5A-5) = amt remaining<BR>\n" );
document.write( " Rick received 4 more than half of the remaining oranges.<BR>\n" );
document.write( "r = .5(.5A - 5) + 4<BR>\n" );
document.write( "r = .25A - 2.5 + 4<BR>\n" );
document.write( "r = .25A + 1.5 Ricks amt<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(.5A-5)-(.25A+1.5)<BR>\n" );
document.write( ".5A - .25A - 5 - 1.5<BR>\n" );
document.write( ".25A - 6.5 amt remaining<BR>\n" );
document.write( " Ken received half of the remainder, plus the last 3 oranges.<BR>\n" );
document.write( "k = .5(.25A-6.5) + 3<BR>\n" );
document.write( "k = .125A - 3.25 + 3<BR>\n" );
document.write( "k = .125A - .25 Kens amt<BR>\n" );
document.write( "Find A, the sum of all 3 amts<BR>\n" );
document.write( "A = (.5A + 5)+(.25A+1.5)+(.125A-.25)<BR>\n" );
document.write( "A = .5A + .25A + .125A + 5 + 1.5 - .25<BR>\n" );
document.write( "A = .875A + 6.25<BR>\n" );
document.write( "A - .875A = 6.25<BR>\n" );
document.write( ".125A = 6.25<BR>\n" );
document.write( "A = 6.25/.125<BR>\n" );
document.write( "A = 50 total oranges<BR>\n" );
document.write( ":<BR>\n" );
document.write( " What percentage of the oranges did Ken receive? <BR>\n" );
document.write( "k = .125(50)-. 25<BR>\n" );
document.write( "k = 6 oranges <BR>\n" );
document.write( "Find the percentage: 6/50 * 100 = 12% </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );