Question

In a group of 52 persons, 16 drink tea but not coffee and 33 drink tea. Find: (i) How many drink tea and coffee both

Answer 1

it is solved using venn diagram

Answer 2

Number of persons drinking both tea and coffee is 17

Given:

The total number of people in a group = 52

Number of persons drinking only tea = 16

Number of persons drinking tea = 33

To find:

The number of people drinking both tea and coffee

Solution:

Plot the above data in a venn diagram, which is shown in the below figure,

Let A be the no of persons drinking tea = 16

Number of persons drinking both tea and coffee = 33 – 16 = 17

Number of persons drinking only coffee = 52 – 33 = 19

Number of persons drinking both tea and coffee = 17.