document.write( "Question 199163: There are only three flavors of gumdrops in a jar containing 40 gumdrops. There are 3 times as many cherry gumdrops as lemon gumdrops. There are 4 more than twice as many orange gumdrops as lemon gumdrops.
\n" ); document.write( "a)How many gumdrops of each flavor are there in the jar?(only an algebraic solution will be accepted.)
\n" ); document.write( "b)Two gumdrops are drawn at random without replacement.Find the probability that both are the same flavor. \n" ); document.write( "
Algebra.Com's Answer #149640 by rfer(16322)\"\" \"About 
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\n" ); document.write( "3 flavors, 40 total
\n" ); document.write( "L=lemon, C=cherry, O=orange
\n" ); document.write( "L=X, C=X(3), O=X(2)+4
\n" ); document.write( "X+3X+(2X+4)=total
\n" ); document.write( "6X+4=40
\n" ); document.write( "6X=40-4
\n" ); document.write( "6X=36
\n" ); document.write( "X=6
\n" ); document.write( "Therefore lemon=6, cherry=18, orange=16 ,=40 total\r
\n" ); document.write( "\n" ); document.write( "b)
\n" ); document.write( "first draw
\n" ); document.write( "lemon, 6/40 or 15%; cherry, 18/40 or 45%; orange, 16/40 or 40%
\n" ); document.write( "second draw
\n" ); document.write( "lemon, 5/39 or 13%; cherry, 17/39 or 44%; orange, 15/39 or 38%
\n" ); document.write( "sumation
\n" ); document.write( "draw the same twice
\n" ); document.write( "lemon, 2% chance; cherry, 20% chance; orange, 15% chance\r
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