document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=854617>Question 854617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There were some beans in Jars A, B and C. Jar A contained 20% of the total number of beans. The ratio of the number of beans in Jar B to the total number of beans in Jars A and C was 2:1. There were 152 more beans in Jar B than C. How many beans were there in Jar A? How many beans were there in the three jars altogether? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514780 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=514780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There were some beans in Jars A, B and C. Jar A contained 20% of the total number of beans. The ratio of the number of beans in Jar B to the total number of beans in Jars A and C was 2:1. There were 152 more beans in Jar B than C. How many beans were there in Jar A? How many beans were there in the three jars altogether?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Let x be the total number of beans.<BR>\n" );
document.write( "A = 0.2x<BR>\n" );
document.write( "C = B-152<BR>\n" );
document.write( "B = 2(A+C) = 2A+2C = 0.4x + 2C = 0.4x+2(B-152) = 0.4x+2B-304<BR>\n" );
document.write( "So B = 0.4x + 2B - 304<BR>\n" );
document.write( "Then 0.4x + B - 304 = 0<BR>\n" );
document.write( "B = 304-0.4x <BR>\n" );
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document.write( "A + B + C = x<BR>\n" );
document.write( "0.2x + (304-0.4x) + ((304-0.4x)-152) = x<BR>\n" );
document.write( "-0.6x +304+152 = 0<BR>\n" );
document.write( "-0.6x + 456 = 0<BR>\n" );
document.write( "x = 760 beans<BR>\n" );
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document.write( "Jar A has 0.2x = 152 beans<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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