document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040985>Question 1040985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide 282 into two parts such that the eighth part of the first and the fifth part of the second are in the ratio 4:3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655985 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Divide 282 into two parts such that the eighth part of the first and the fifth part of the second are in the ratio 4:3.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Two parts a & b<BR>\n" );
document.write( "a + b = 282<BR>\n" );
document.write( "\"the eighth part of the first and the fifth part of the second are in the ratio 4:3.\"<BR>\n" );
document.write( "Using the decimal equiv, 1/8 = .125 and 1/5 = .200<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.125a%29%2F%28.2b%29 ALIGN=MIDDLE  ALT=\"%28.125a%29%2F%28.2b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "4(.2b) = 3(.125a)<BR>\n" );
document.write( ".8b =.375a<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.375a%29%2F.8 ALIGN=MIDDLE  ALT=\"%28.375a%29%2F.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = .46875a<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a + .46875a = 282<BR>\n" );
document.write( "1.46875a = 282<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=282%2F1.46875 ALIGN=MIDDLE  ALT=\"282%2F1.46875\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 192<BR>\n" );
document.write( "find b<BR>\n" );
document.write( "b = 282-192<BR>\n" );
document.write( "b = 90<BR>\n" );
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document.write( "The two parts are 192 and 90<BR>\n" );
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document.write( "See if this works<BR>\n" );
document.write( ".125(192) = 24<BR>\n" );
document.write( ".200(90)  = 18<BR>\n" );
document.write( "24/18 = 4/3 </SPAN>\n" );
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