document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122626>Question 1122626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi\r<BR>\n" );
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document.write( "2 similar containers P and Q were filled with rice and beans. The ratio of rice to beans in P and Q were 1:5 & 5:3 respective ly. Jug R contained 620g of beans when all the beans from P and Q were poured into R there were 1200g of beans altogether.  How many grams of rice were in P.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738846 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</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=738846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Mathematically, \"similar\" containers means the two containers are the same shape but can be different sizes.  If that were, the case, the problem could not be solved.  So I assume you mean containers P and Q are identical.<br><BR>\n" );
document.write( "The contents of container P are divided into 6 parts (1:5 rice to beans); the contents of Q are divided into 8 parts (5:3 rice to beans).  The problem is most easily worked if we use a common denominator of 6 and 8 so that we can visualize the two containers divided into equal numbers of parts.<br><BR>\n" );
document.write( "The least common denominator of 6 and 8 is 24.  So consider container P to have 4 parts rice and 20 parts beans (a 1:5 ratio), and consider container Q to have 15 parts rice and 9 parts beans (a 5:3 ratio).<br><BR>\n" );
document.write( "So together containers P and Q have 20+9=29 parts beans and 4+15=19 parts rice.  When the 29 parts beans from P and Q are added to the 620g of beans already in R, there are 1200g of beans in R.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=620%2B29x+=+1200 ALIGN=MIDDLE  ALT=\"620%2B29x+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29x+=+580 ALIGN=MIDDLE  ALT=\"29x+=+580\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+20 ALIGN=MIDDLE  ALT=\"x+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Each \"part\" of each container is 20g.<br><BR>\n" );
document.write( "The question asks for the number of grams of rice in P.  P has 4 parts rice, which is 4*20 = 80g.<br><BR>\n" );
document.write( "Answer: P had (has) 80g of rice. </SPAN>\n" );
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