In
Kasanga village the number of people who speak English or French is 300. 150 of
them speak English and 170 of them speak French. How many speak both languages?
solution
In
most cases, OR stands for union whereas AND/BOTH, stands for intersection.
Let
French=n(F), English= n(E).
n(E)=
180,
n(F)=
170,
n(EuF)
= 300,
n(EnF)=?
n(EuF)
= n(E) + n(F) - n(EnF)
300
= 150 + 170 – n(EnF)
300
= 320 – n(EnF)
n(EnF)
= 320 – 300
n(EnF)
= 20
Hence
n(EnF)=20 answer
∴
20 speak both languages .
TRY THIS……..
In
Malenda village the number of people who speak English or French is 280. 185 of
them speak English and 175 of them speak French. How many speak both languages?
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