document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033571>Question 1033571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of red jelly beans to yellow jelly beans in a dish is 3:4.  If Greg eats 3 red jelly beans and 6 yellow ones, the ratio is 4:5.  How many yellow jelly beans were in the dish? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648218 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the original number of red  DISABLED_event_ones=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+ ALIGN=MIDDLE  ALT=\"+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the original number of yellow  DISABLED_event_ones=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%2Fy+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+r%2Fy+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r-3+%29+%2F+%28+y+-+6+%29+=+4%2F5+ ALIGN=MIDDLE  ALT=\"+%28+r-3+%29+%2F+%28+y+-+6+%29+=+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%283%2F4%29%2Ay+ ALIGN=MIDDLE  ALT=\"+r+=+%283%2F4%29%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+-+3+=+%284%2F5%29%2A%28+y+-+6+%29+ ALIGN=MIDDLE  ALT=\"+r+-+3+=+%284%2F5%29%2A%28+y+-+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F4%29%2Ay+-+3+=+%284%2F5%29%2A%28+y+-+6+%29+ ALIGN=MIDDLE  ALT=\"+%283%2F4%29%2Ay+-+3+=+%284%2F5%29%2A%28+y+-+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+ ALIGN=MIDDLE  ALT=\"+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15y+-+60+=+16%2A%28+y+-+6+%29+ ALIGN=MIDDLE  ALT=\"+15y+-+60+=+16%2A%28+y+-+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15y+-+60+=+16y+-+96+ ALIGN=MIDDLE  ALT=\"+15y+-+60+=+16y+-+96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+36+ ALIGN=MIDDLE  ALT=\"+y+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%283%2F4%29%2Ay+ ALIGN=MIDDLE  ALT=\"+r+=+%283%2F4%29%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%283%2F4%29%2A36+ ALIGN=MIDDLE  ALT=\"+r+=+%283%2F4%29%2A36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+27+ ALIGN=MIDDLE  ALT=\"+r+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "36 yellow beans were in the dish<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%2Fy+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+r%2Fy+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+27%2F36+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+27%2F36+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+9%2F9+%29%2A%28+3%2F4+%29+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+%28+9%2F9+%29%2A%28+3%2F4+%29+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F4+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+3%2F4+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r-3+%29+%2F+%28+y+-+6+%29+=+4%2F5+ ALIGN=MIDDLE  ALT=\"+%28+r-3+%29+%2F+%28+y+-+6+%29+=+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+27-3+%29+%2F+%28+36+-+6+%29+=+4%2F5+ ALIGN=MIDDLE  ALT=\"+%28+27-3+%29+%2F+%28+36+-+6+%29+=+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+%2F+30+=+4%2F5+ ALIGN=MIDDLE  ALT=\"+24+%2F+30+=+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+6%2F6+%29%2A%28+4%2F5+%29+=+4%2F5+ ALIGN=MIDDLE  ALT=\"+%28+6%2F6+%29%2A%28+4%2F5+%29+=+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F5+=+4%2F5+ ALIGN=MIDDLE  ALT=\"+4%2F5+=+4%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );