400 consumers, 220 buy product A, 210 buy products A and B, how many buy product B?

Question

Of 400 consumers, some purchase ice cream, some frozen yogurt, and some purchase both ice cream and frozen yogurt.   If 220 people purchase ice cream and 210 people purchase both ice cream and frozen yogurt, how many people purchase only frozen yogurt? 

Answer 1

Trish,

 

220 people purchase ice cream and 210 purchase both ice cream and yogurt. So there are 10 people who purchase just ice cream.

 

Total number of people is 400, 10 have purchased only ice cream, 210 have purchased both icecream and yogurt. The remaining purchased only yogurt.

 

So 400- 10 -210 = 180 purchased only yogurt.