SETS K4

 

There are 37 villagers at the meeting. 12 are farmers and 18 are workers and 8 are both farmers and workers. How many villagers are

i)                 Either farmers or workers.

ii)             Neither farmers nor workers

 

Solution

 

n(U)=37

n(F)=12

n(W)=18

n(FnW)=8

n(FuW)=?

n(FuW)’=?

 

i)  n(FuW) = n(F) + n(W) - n(FnW)

n(FuW) = 12 + 18 - 8

n(FuW) = 30 – 8

n(FuW) = 22

 

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n(U) = n(FuW) + n(FuW)’

37 = 22+ n(FuW)’

37 - 22=n(FuW)’

15=n(FuW)’

 

Hence those who are neither farmers nor workers are 15

TRY THIS………

 

There are 50 villagers at the meeting. 11 are farmers and 20 are workers and 8 are both farmers and workers. How many villagers are

i)                 Either farmers or workers.

ii)             Neither farmers nor workers