In a Zoo, there are 6 Bengal white tigers and 77 Bengal royal tigers. Out of these tigers, 5 are males and 10 are either Bengal royal tigers or males. Find the number of female Bengal white tigers in the Zoo.
Answer With Procedure Please
Answers
Answer:
67 female tigers
Step-by-step explanation:
Given,
x=bengal tigers/royal tigers:male
y=bengal tigers/royal tigers:female
Now,
x-y-77
or,5-10-77
therefore,the number of female tiger are 67
Given,
The number of Bengal white tigers = 6
The number of Bengal royal tigers = 7
5 are male tigers and 10 are either male or Bengal royal tigers
To Find,
The number of female Bengal royal tigers =?
Solution,
The number of Bengal white tigers (W) = 6
The number of Bengal royal tigers (R) = 7
The number of male tiger(M) = 5
Total tiger (T) = 7 + 6 = 13
The number of female tiger(F) = 7 + 6 - 5
The number of female tiger(F) = 8
The number of male or Bengal royal tigers (M ∪ R) = 10
R∩M = R + M - (R∪M)
R∩M = 7 + 5 - 10 = 2
R∩M = 2
W∪F = T - R∩M
W∪F = 13 - 2 = 11
W ∩ F = W + F - W∪F
W ∩ F = 6 + 8 - 11
W ∩ F = 14 - 11 = 3
Hence, the number of female Bengal white tigers in the Zoo is 3.