SETS 3

In Udumuka village the number of people who speak English or French is 300. 180 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  =  180 + 170 – n(EnF)

300  =  350 – n(EnF)

n(EnF) =  350 – 300

n(EnF) =  50

Hence n(EnF)=50 answer

∴  50 speak both languages   .

TRY THIS……..

In Ihomasa village the number of people who speak English or French is 300. 180 of them speak English and 170 of them speak French. How many speak both languages?