Question

of 360 consumers polled some purchase ice cream some purchase frozen yogurt and some purchase both if 260 people polled purchase ice cream and 250 purchase both ice cream and frozen yogurt how many people purchase frozen yogurt

Answer 1

Answer: There are 350 consumers who purchase frozen yogurt.

Explanation:

Since we have given that

Number of consumers polled =360

Number of consumers who purchased ice- cream = 260

Number of consumers who purchased both ice- cream and frozen yogurt = 250

We need to find the number of consumers who purchased frozen yogurt,

Let A denotes who purchased ice-cream

and B denotes who purchased frozen yogurt.

As we know the formula

`n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\360=260+n(B)-250\\\\360=10+n(B)\\\\360-10=n(B)\\\\350=n(B)`

Hence, there are 350 consumers who purchase frozen yogurt.