document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894460>Question 894460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of Thomas' total marks to Ken's total marks in the mid-year examination was 4:5. Thomas' marks increased by 50% in the final year examination. How many percent must Ken's mark be increased so that their total marks would be equal in the final year examination? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542074 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=542074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the ratio of tom to ken is 4:5.<BR>\n" );
document.write( "tom increases by 50%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the ratio is 4/5.<BR>\n" );
document.write( "multiply that by x/x and you get 4x/5x.<BR>\n" );
document.write( "this represents the total marks that tom and ken had in the mid-year exam.<BR>\n" );
document.write( "it doesn't really matter what the value of x is.<BR>\n" );
document.write( "it only matter that, whatever the value of x, the ratio will be the same.<BR>\n" );
document.write( "4*5 = 20 divided by 5*5 = 25 and you get 20/25 which is equal to 4/5.<BR>\n" );
document.write( "you'll get the same ratio no matter what the value of x is.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "tom's marks increase by 50%<BR>\n" );
document.write( "since tom's marks are equal to 4x and they increase by 50%, then they increase by 2x for a total of 6x in the final.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in order to get the same score as tom in the final, ken must also score 6x in the final.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ken's score will increase from 5x to 6x.<BR>\n" );
document.write( "this is an increase of 1x which is equal to an increase of 20%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "tom increased by 50% from 4x to 6x.<BR>\n" );
document.write( "ken increased by 20% from 5x to 6x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they both have the same mark in the final.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i believe this is what you're asking.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ken's marks have to increase by 20%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );