Question

A survey show that in a city that 63% of the citizens like tea where as 76% like coffee.If x% like both tea and coffee, the

Answer 1

Answer:

The Question is incomplete but if u are trying to find tha value of x, then

 Let 'T' and 'C' be the two set of people who like tea and coffee respectively,

Given,

n(U) = 100%

n(T) = 63%

n(C) = 76%

n(TnC) = x%

Here,

   n(U) = n(T) + n(C) - n(TnC)

or,100% = 63% + 76% - x%

or,x% = 139% - 100%

∴ x% = 39%

Answer 2

Complete question is A survey show that in a city that 63% of the citizens like tea where as 76% like coffee.If x% like both tea and coffee, then find value of the x.

Answer:

Value of x is 39.

Step-by-step explanation:

Let z and y two sets.Set z like tea and set y like coffee.

Here p(U)=100% where U = z∪y

p(z)=63%,p(y)=76% and p(z∩y)=x%$p(z∪y)=p(z)+p(y)-p(z∩y)=63+76-p(z∩y)$

Or,

$100 = 63 + 76 - p(z∩y) \\ p(z∩y) = -100+ 63 +76$

$p(z∩y) = 39$

So,39% of total citizens like coffee and tea both.

So value of x is 39.

By this process we can find percentage of citizens who doesn't like tea and coffee both.