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.
a)How many gumdrops of each flavor are there in the jar?(only an algebraic solution will be accepted.)
b)Two gumdrops are drawn at random without replacement.Find the probability that both are the same flavor.
Answer by rfer(16322)   (Show Source):
You can put this solution on YOUR website! Big problem.
3 flavors, 40 total
L=lemon, C=cherry, O=orange
L=X, C=X(3), O=X(2)+4
X+3X+(2X+4)=total
6X+4=40
6X=40-4
6X=36
X=6
Therefore lemon=6, cherry=18, orange=16 ,=40 total
b)
first draw
lemon, 6/40 or 15%; cherry, 18/40 or 45%; orange, 16/40 or 40%
second draw
lemon, 5/39 or 13%; cherry, 17/39 or 44%; orange, 15/39 or 38%
sumation
draw the same twice
lemon, 2% chance; cherry, 20% chance; orange, 15% chance
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