Answer: There are 350 consumers who purchase frozen yogurt.
Step-by-step 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
[tex]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)[/tex]
Hence, there are 350 consumers who purchase frozen yogurt.