document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762578>Question 762578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the number of yellow balls to the green balls in a bag was 4:7. When 6 green balls were removed and 3 more yellow balls were added to the bag, there were as many yellow balls as green balls. How many yellow balls and green balls were in the bag originally? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464070 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=464070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ratio of yellow to green initially is 4:7.\r<BR>\n" );
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document.write( "Assume there were 4*x yellow balls, which means that there were 7*x green balls.\r<BR>\n" );
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document.write( "6 green balls removed. So number of green balls now is 7*x - 6<BR>\n" );
document.write( "3 yellow balls added. So number of yellow balls now is 4*x + 3\r<BR>\n" );
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document.write( "After this change, it is given that the number of green balls and yellow balls are equal.\r<BR>\n" );
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document.write( "Hence <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Ax+-+6%29+=+%284%2Ax+%2B+3%29 ALIGN=MIDDLE  ALT=\"7%2Ax+-+6%29+=+%284%2Ax+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for x. Adding 6 to both sides, and subtracting 4*x from both sides,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ax+=+9 ALIGN=MIDDLE  ALT=\"3%2Ax+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Yellow balls = 4*x. Green = 7*x.\r<BR>\n" );
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document.write( "Hence number of yellow balls = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2812%29 ALIGN=MIDDLE  ALT=\"highlight%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and number of green balls = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2821%29 ALIGN=MIDDLE  ALT=\"highlight%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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