Simple, Isn't It?
Algebra
Level
2
An urn contains 4 green balls and 6 blue balls. A second urn contains 16 green balls and N blue balls. A single ball is drawn at random from each urn. The probability that both balls are of the same color is 0.58. Find N.
Credits- This is an AIME 2014 problem.
The answer is 144.
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1 solution
we solve the equation 0,4 x (16/(16+N)) + 0.6 x (N/(N+16)) = 0,58 and we find that N=144, Good try !!