document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442998>Question 442998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Harold owns 36 precious coins.He wanted to divide the coins among his three children. He told one child that he wanted her to take 4/9 of the coins.He told another child that he wanted him to take 1/6 of the coins.His children met and tried to think of how they could divide the coins according to the father's wishes.How many coins should each child get?Show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305554 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=305554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Harold owns 36 precious coins.<BR>\n" );
document.write( "He wanted to divide the coins among his three children. <BR>\n" );
document.write( "He told one child that he wanted her to take 4/9 of the coins.<BR>\n" );
document.write( "He told another child that he wanted him to take 1/6 of the coins.<BR>\n" );
document.write( "His children met and tried to think of how they could divide the coins according to the father's wishes.<BR>\n" );
document.write( "How many coins should each child get?<BR>\n" );
document.write( "Show your work.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(4/9)(4/4) = 16/36  : one of the children gets 16 of the 36<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(1/6)(6/6) = 6/36 : the other child gets 6 of the 36<BR>\n" );
document.write( "----<BR>\n" );
document.write( "That leaves 12 coins still to be distributed:<BR>\n" );
document.write( "=======================================================<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "============<BR>\n" );
document.write( "They could be divided in a ratio of 4/9:1/6<BR>\n" );
document.write( "Then (4/9)x + (1/6)x = 36<BR>\n" );
document.write( "Multiply thru by 36 to get:<BR>\n" );
document.write( "16x + 6x = 36^2<BR>\n" );
document.write( "22x = 1296<BR>\n" );
document.write( "x = 58.91<BR>\n" );
document.write( "----<BR>\n" );
document.write( "One child gets (4/9)(58.91) is approx 26 coins<BR>\n" );
document.write( "Other child get (1/6)(58.91) is approx 10 coins<BR>\n" );
document.write( "=====================================================<BR>\n" );
document.write( "Now all the coins can be distributed to the two children.<BR>\n" );
document.write( "=========================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );