document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186390>Question 1186390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the number of stickers Aaron had to the total number of stickers Benedict and Caleb had was 2:3. The ratio of the number of stickers Benedict had to the total number of stickers Aaron and Caleb had was 4:5. Find the ratio of the number of stickers Aaron has to the number of stickers Benedict had to the number of stickers Caleb had. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817289 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The number Aaron had was 2/3 the number Benedict and Caleb had together:<br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%282%2F3%29%28B%2BC%29 ALIGN=MIDDLE  ALT=\"A=%282%2F3%29%28B%2BC%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The number Aaron and Caleb had together was 5/4 the number Benedict had:<br><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BC=%285%2F4%29%28B%29 ALIGN=MIDDLE  ALT=\"A%2BC=%285%2F4%29%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute (1) into (2):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28B%2BC%29%2BC=%285%2F4%29%28B%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29%28B%2BC%29%2BC=%285%2F4%29%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29B%2B%285%2F3%29C=%285%2F4%29B ALIGN=MIDDLE  ALT=\"%282%2F3%29B%2B%285%2F3%29C=%285%2F4%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29C=%285%2F4%29B-%282%2F3%29B ALIGN=MIDDLE  ALT=\"%285%2F3%29C=%285%2F4%29B-%282%2F3%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29C=%287%2F12%29B ALIGN=MIDDLE  ALT=\"%285%2F3%29C=%287%2F12%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Multiply by 12 to clear fractions:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20C=7B ALIGN=MIDDLE  ALT=\"20C=7B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2FC=20%2F7 ALIGN=MIDDLE  ALT=\"B%2FC=20%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Let B=20x and C=7x and substitute in (1):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%282%2F3%29%2820x%2B7x%29 ALIGN=MIDDLE  ALT=\"A=%282%2F3%29%2820x%2B7x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%282%2F3%2927x ALIGN=MIDDLE  ALT=\"A=%282%2F3%2927x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=18x ALIGN=MIDDLE  ALT=\"A=18x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "A:B:C = 18x:20x:7x<br><BR>\n" );
document.write( "ANSWER: A:B:C = 18:20:7<br><BR>\n" );
document.write( " </SPAN>\n" );
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