In a Gwalior survey of 115 people, 15 like neither sweet. Only marshmallow, both and only pretzel are in the ratio 5 : 2 : 3. How many people like pretzel?

Question

Accepted Answer

50. Inside the circles: 115 - 15 = 100 = 5k + 2k + 3k, so k = 10. Pretzel = 2k + 3k = 20 + 30 = 50. 30 is only pretzel, 70 is the marshmallow circle, and 20 is the both-group.

In a Gwalior survey of 115 people, 15 like neither sweet. Only marshmallow, both and only pretzel are in the ratio 5 : 2 : 3. How many people like pretzel?

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