In Igowole village the
number of people who speak Kiswahili or Kisukuma is 450. 350 of them speak
Kiswahili and 300 of them speak Kisukuma. How many speak both languages?
Solution
In most cases, OR stands
for union whereas AND/BOTH, stands for intersection.
Let Kiswahili=n(K), Kisukuma
= n(S).
n(K)= 300 ,
n(S)= 350,
n(KuS) = 450,
n(KnS)=?
n(KuS) = n(K) + n(S) -
n(KnS)
450 = 350
+ 300 – n(KnS)
450 = 650
– n(KnS)
450 -650 = -n(KnS)
-200 = -n(KnS)
n(KnS) = 200
[after dividing by (-1) on both sides]
Hence n(KnS) = 200 answer
TRY THIS…………………….
In Mpanda district the
number of people who speak French or Kikuyu is 600. 370 of them speak French
and 300 of them speak Kikuyu. How many speak both languages?
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