Data from a recent survey of high school students eating habits

114 eat meat

100 eat bread

70 eat fruit

48 eat meat and bread

41 eat meat and fruit

27 eat bread and fruit

17 eat all three food

Draw a Venn Diagram. How many students were surveyed , assuming all students eat at least 1 of 3 foods.

Can you explain me how did you figure out this problem and why isn't the answer 417