document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113447>Question 113447</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/061812991x/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> In a poker game, two people begin with equal sums of money.  When the game ended, the loser had lost $50 more than a quarter of his money and the winner had twice as much money as the loser.  How much money did each person have at the end of the game? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82530 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the amt. each started with.<BR>\n" );
document.write( "The loser lost x/4+50.<BR>\n" );
document.write( "Combined holdings always total 2x.<BR>\n" );
document.write( "x-(x/4+50)+2(x-(x/4+50))=2x<BR>\n" );
document.write( "x-x/4-50+2(x-x/4-50)=2x<BR>\n" );
document.write( "x-x/4-50+2x-2x/4-100=2x<BR>\n" );
document.write( "4x-x-200+8x-2x+-400=8x multiply each side by 4 to eliminate fractions.<BR>\n" );
document.write( "9x-600=8x<BR>\n" );
document.write( "x=$600 what they each started with.<BR>\n" );
document.write( "Loser had 600-(600/4+50)<BR>\n" );
document.write( "=600-(150+50)<BR>\n" );
document.write( "=600-200=$400.<BR>\n" );
document.write( "The winner had 2*400=$800.<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );