Question

in a survey of 9000 people, 4000 likes tea,4500 like coffee. among them 2500 dont like tea and coffee. find number of people who like tea and coffee both​

Answer 1

500

Explanation:

n(t)=4000

n(c)=4500

n(tea only )= 4000-x

n(coffee only )= 4500-x

n(coffee and tea )= x

note...using Venn diagram ..all together must add up to 9000

(4000-x)+(4500-x) +x = 9000

..............

...........collect like terms

9500-9000 = x

x = 500

Answer 2

Explanation:

No of people likes tea = 4000

No of people like coffee = 4500

Total = 8500

No of people don't like tea and coffee = 2500

No of people like tea and coffee = 8500 - 2500 = 6000