SETS K1

 In Mwangata district the number of people who speak Kiswahili or Lingala is 410. 200 of them speak Kiswahili and 300 of them speak Lingala. How many speak both languages?

 

solution

 

In most cases, OR stands for union whereas AND/BOTH, stands for intersection.

 

Let Kiswahili=n(K), Lingala= n(L).

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n(K)= 200 ,

n(L)= 300,

n(KuL) = 410,

n(KnL)=?

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n(KuL) = n(K) + n(L) - n(KnL)

 

 

410  =  200 + 300 – n(KnL)

 

 

410  =  500 – n(KnL)

 

 

n(KnL) =  500 – 410

 

 

n(EnF) =  90

 

 

Hence n(EnF) = 90 answer

 

TRY THIS……………………………….. 

 

In Kazilabatemi district the number of people who speak Kiswahili or Spanish is 390. 260 of them speak Kiswahili and 320 of them speak Spanish. How many speak both languages?