Monday, October 06, 2008
Jelly Beans - The Answer
(Solution Hidden)
Here is the answer to the Jelly Beans problem.
Let X = total number of jelly beans in the bowl.
Let R = red jelly beans in the bowl.
Let G = green jelly beans in the bowl.
Let B = blue jelly beans in the bowl.
Let Y = yellow jelly beans in the bowl.
Then, we have the following equations:
R = X - 16
G = X - 16
B = X - 16
Y = X - 18
Now, since R + G + B + Y = X, we get:
(X-16) + (X-16) + (X-16) + (X-18) = X
This reduces to:
4X - 66 = x
and further reduces to
3x = 66
So, there are 22 jelly beans in the bowl (6 red, 6 green, 6 blue, and 4 yellow).
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