document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170803>Question 1170803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> good day please may you assist me in the following \r<BR>\n" );
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document.write( "three friends A, B and C dine out an decide to spilt the bill according to what they order. A's portion and B's portion of the bill totalled $35, while B's portion of the bill was $5 less than C's portion of the bill. The ratio of A's portion to C's portion of the bill is 4:5. determine the total bill. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797486 by </B><A HREF=/tutors/aboutme.mpl?userid=mahikab><B>mahikab(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mahikab><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=797486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "(1) A:C = 4:5<BR>\n" );
document.write( "=> A/C = 4/5<BR>\n" );
document.write( "A = 4C/5\r<BR>\n" );
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document.write( "(2) A + B = $35<BR>\n" );
document.write( "Substituting the value of A from (1) above,<BR>\n" );
document.write( "4C/5 + B = 35<BR>\n" );
document.write( "(4C/5 + B) * 5 = 35 * 5<BR>\n" );
document.write( "4C + 5B = 175\r<BR>\n" );
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document.write( "(3) C - B = 5<BR>\n" );
document.write( "5 * (C - B) = 5 * 5<BR>\n" );
document.write( "5C - 5B = 25\r<BR>\n" );
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document.write( "Adding the equations from (2) and (3) above:<BR>\n" );
document.write( "4C + 5B = 175<BR>\n" );
document.write( "5C - 5B = 25<BR>\n" );
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document.write( "9C      = 200<BR>\n" );
document.write( "C = 200/9 = $22.22\r<BR>\n" );
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document.write( "Substituting the value of C in the equation (3),<BR>\n" );
document.write( "22.22 - B = 5<BR>\n" );
document.write( "B = 22.22 - 5 = $17.22\r<BR>\n" );
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document.write( "Finally from equation (1),<BR>\n" );
document.write( "A = 4C/5 = (4/5)*(200/9) = 160/9 = $17.77\r<BR>\n" );
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document.write( "Hence the solution:<BR>\n" );
document.write( "A = $17.77<BR>\n" );
document.write( "B = $17.22<BR>\n" );
document.write( "C = $22.22 </SPAN>\n" );
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