SOLUTION: 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 gu

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Question 199264: 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 in the jar? (only an algebraic solution will be accepted)
b)Two gumdrops are drawn at random without replacemnt. Find the probability that both are the same flavor.

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
A) lemon=x=6
cherry=3x=18
orange=2x=4=16
x+3x+2x+4=40
6x=36
x=6
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B) lemon=(6/40)(6/39)=36/1560=3/130
cherry= (18/40)(18/39)=324/1560=27/130
orange= (16/40)(16/39)=256/1560=32/195