SETS - 4

In Kasanga village the number of people who speak English or French is 200. 98 of them speak English and 110 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)= 98 ,

n(F)= 110,
n(EuF) = 200,
n(EnF)=?

 

n(EuF) = n(E) + n(F) - n(EnF)

200  =  98 + 110 – n(EnF)

200  =  208 – n(EnF)

n(EnF) =  208 – 200

n(EnF) =  8

 

Hence n(EnF)=140 answer