Question

3. In a group of 400 people, 100 are healthy and every person of the remaining 300 has either high blood pressure, a high level of cholesterol, or both. If 150 have high blood pressure and 250 have high level of cholesterol, (10 pts) a) how many people have high blood pressure and a high level of cholesterol

Answer 1

100

Explanation:

We are given that in a group of 400 people

Numbers of healthy people=100

We have to find the numbers of people have high blood pressure and high cholesterol

Let x be the number of people which have both high blood pressure and high cholesterol

Numbers of people which have high blood pressure=150

Numbers of people which have high cholesterol=250

We know that

`n(A)+n(B)-n(A\cap B)=n(A\cup B)`

Substitute the values

Then we get

`300=150+250-x`

`x=400-300`

x=100

Hence, the numbers of people which have high blood pressure and high cholesterol=100