document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=773272>Question 773272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio fo 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 jelly beans were originally in the dish?\r<BR>\n" );
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document.write( "3/4 = RJB/YJB<BR>\n" );
document.write( "4rjb = 3yjb<BR>\n" );
document.write( "4(rjb-3) = 3(yjb-6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471397 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=471397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are asking if you are solving correctly.\r<BR>\n" );
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document.write( "Let r = how many red jelly beans<BR>\n" );
document.write( "let y = how many yellow jelly beans\r<BR>\n" );
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document.write( "Originally, <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" );
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document.write( "Ate 3 red beans so now r-3 red beans in the dish;<BR>\n" );
document.write( "Ate 6 yellow beans, so y-6 yellow beans still in the jar.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-3%29%2F%28y-6%29=4%2F5 ALIGN=MIDDLE  ALT=\"%28r-3%29%2F%28y-6%29=4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Two equations in the two unknowns r and y.  <BR>\n" );
document.write( "ORIGINAL EQUATION<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r=3y ALIGN=MIDDLE  ALT=\"4r=3y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r-3y=0 ALIGN=MIDDLE  ALT=\"4r-3y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "EATEN EQUATION<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-6%29=5%28r-3%29 ALIGN=MIDDLE  ALT=\"4%28y-6%29=5%28r-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-24=5r-15 ALIGN=MIDDLE  ALT=\"4y-24=5r-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-25%2B15=5r ALIGN=MIDDLE  ALT=\"4y-25%2B15=5r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-10=5r ALIGN=MIDDLE  ALT=\"4y-10=5r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5r-4y=-10 ALIGN=MIDDLE  ALT=\"5r-4y=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SYSTEM TO SOLVE MAY BE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285r-4y=-10%29 ALIGN=MIDDLE  ALT=\"highlight%285r-4y=-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284r-3y=0%29 ALIGN=MIDDLE  ALT=\"highlight%284r-3y=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 3 for eaten equation, multiply by 4 for original equation<BR>\n" );
document.write( "in these forms, and obtain,...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15r-12y=-30 ALIGN=MIDDLE  ALT=\"15r-12y=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16r-12y=0 ALIGN=MIDDLE  ALT=\"16r-12y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Subtracting the \"0\" equation from the \"-30\" equation, obtain:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Ar=-30 ALIGN=MIDDLE  ALT=\"-1%2Ar=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=30%29 ALIGN=MIDDLE  ALT=\"highlight%28r=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then this means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=r%284%2F3%29 ALIGN=MIDDLE  ALT=\"y=r%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from original ratio, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=30%284%2F3%29=highlight%2840%29 ALIGN=MIDDLE  ALT=\"y=30%284%2F3%29=highlight%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "____________________________________________________________<BR>\n" );
document.write( "Originally 30 red jelly beans and 40 yellow jelly beans<BR>\n" );
document.write( "____________________________________________________________ </SPAN>\n" );
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