document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542482>Question 542482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sweets were placed in 3 containers, A, B, and C. The ratio of sweets in A and B was 7:4 and the ratio in B and C was 3:2. After 36 sweets were from A, the number of sweets in C was 2/3 the number of sweets in A. What was the total number of sweets left in the three containers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354646 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=354646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sweets were placed in 3 containers, A, B, and C. <BR>\n" );
document.write( "The ratio of sweets in A and B was 7:4 and the ratio in B and C was 3:2.<BR>\n" );
document.write( " After 36 sweets were from A, the number of sweets in C was 2/3 the number of sweets in A.<BR>\n" );
document.write( " What was the total number of sweets left in the three containers?<BR>\n" );
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document.write( "Write some equation<BR>\n" );
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document.write( "\"he ratio of sweets in A and B was 7:4 \"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2FB ALIGN=MIDDLE  ALT=\"A%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F4 ALIGN=MIDDLE  ALT=\"7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "4A = 7B<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >A<BR>\n" );
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document.write( "\"the ratio in B and C was 3:2.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2FC ALIGN=MIDDLE  ALT=\"B%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2B = 3C<BR>\n" );
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document.write( "\"After 36 sweets were from A, the number of sweets in C was 2/3 the number of sweets in A.<BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(A-36)<BR>\n" );
document.write( "3C = 2(A-36); multiplied both sides by 3<BR>\n" );
document.write( "3C = 2A - 72<BR>\n" );
document.write( "Replace 3C with 2B<BR>\n" );
document.write( "2B = 2A - 72<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "B = A - 36<BR>\n" );
document.write( "Replace B with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >A = A - 36<BR>\n" );
document.write( "4A = 7(A - 36); multiplied both sides by 7<BR>\n" );
document.write( "4A = 7A - 252<BR>\n" );
document.write( "4A - 7A = - 252<BR>\n" );
document.write( "-3A = -252<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-252%29%2F%28-3%29 ALIGN=MIDDLE  ALT=\"%28-252%29%2F%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = +84 sweets in A<BR>\n" );
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document.write( "Find B<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >*84<BR>\n" );
document.write( "B = 48 in B<BR>\n" );
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document.write( "Find C<BR>\n" );
document.write( "3C = 2B<BR>\n" );
document.write( "3C = 2(48)<BR>\n" );
document.write( "3C = 96<BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2F3 ALIGN=MIDDLE  ALT=\"96%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C = 32 in C<BR>\n" );
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document.write( "Total in all 3 containers<BR>\n" );
document.write( "84 + 48 + 32 = 164 sweets<BR>\n" );
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document.write( "You can confirm this by checking these values in all the equations<BR>\n" );
document.write( " </SPAN>\n" );
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