Soup, Meat and Vegetables

Difficulty: Hard · Topics: Discrete Mathematics, Sets, Word Problems

In a canteen where everybody has soup, 35 people are eating. The ratio of the number of people who do not eat meat to the number of people who eat vegetables but no meat is 3/2.

The number of people who eat meat is 5 more than the number of people who do not eat meat, and 3 more than the number of people who eat only meat.

How many people in this canteen had soup and meat but no vegetables?