SETS B20

In Kasanga village the number of people who speak English or French is 188. 98 of them speak English and 100 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)= 100,

n(EuF) = 188,

n(EnF)=?

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

188  =  98 + 100 – n(EnF)

188  =  198 – n(EnF)

n(EnF) =  198 – 188

n(EnF) =  10

Hence n(EnF)=10 answer

TRY THIS………………

In Bibanja village the number of people who speak English or French is 188. 100 of them speak English and 130 of them speak French. How many speak both   languages?