There are 87 balls in a jar. Each ball is painted with at least one of two colors, red or green. It is observed that 2/7 of the balls that have red color also have green color, while 3/7 of the balls that have green color also have red color. What fraction of the balls in the jar have both red and green colors?
A. 6/14
B. 5/14
C. 6/35
D. 6/29
Answer: Option D
Solution (By Examveda Team)
2/7 of the balls that have red color also have green color.So, Both : Only Red = 2:5
Again, 3/7 of the balls that have green color also have red color.
So, Both : Only Green = 3:4
Then, Both : Only Red : Only Green = 6:15:8
Total = Only Red + Both + Only Green
So, Both = 6/(15+6+8) = 6/29
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