document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184444>Question 1184444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ali, Ben, Cain and Dan, shared a sum of money.<BR>\n" );
document.write( "Ali has 1/2 of the total amount of money that Ben, Cain and Dan have.<BR>\n" );
document.write( "Ben has 1/3 of the total amount of money that Ali, Cain and Dan have.<BR>\n" );
document.write( "Cain has 1/7 of the total amount of money that Ali, Ben and Dan have.\r<BR>\n" );
document.write( "\n" );
document.write( "(a)  What fraction of the total sum of money does Dan have?<BR>\n" );
document.write( "(b)  Dan has $84. Find the sum of money shared by the 4 boys. </SPAN>\n" );
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document.write( "(a) Ali has 1/2 of the total amount of money that Ben, Cain and Dan have.<br><BR>\n" );
document.write( "Let x be the amount Ali has; then 2x is the total amount the other three have.<BR>\n" );
document.write( "The total amount all of them have is then 3x.<BR>\n" );
document.write( "That means Ali has 1/3 of the total they all have.<br><BR>\n" );
document.write( "Similarly, Ben having 1/3 of the total that the other three have means Ben has 1/4 of the total amount.<br><BR>\n" );
document.write( "And similarly Cain has 1/8 of the total amount.<br><BR>\n" );
document.write( "Together, the fraction of the total amount that Ali, Ben, and Cain have is<BR>\n" );
document.write( "1/3+1/4+1/8 = 8/24+6/24+3/24 = 17/24; that means Dan has 7/24 of the total amount.<br><BR>\n" );
document.write( "ANSWER: Dan has 7/24 of the total amount.<br><BR>\n" );
document.write( "(b) Dan's $84 is 7/24 of the total:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84+=+%287%2F24%29x ALIGN=MIDDLE  ALT=\"84+=+%287%2F24%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=84%2F%287%2F24%29=84%2824%2F7%29=12%2A24=288 ALIGN=MIDDLE  ALT=\"x=84%2F%287%2F24%29=84%2824%2F7%29=12%2A24=288\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The total amount the four boys had was $288.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );