Question

At a village fete, there are three competitions: The raffle, the best cake competition, and the largest pumpkin competition. Six hundred people attended the fete. 170 of the people had not entered any of the competitions. 20 had entered all three competitions, 70 had entered both the raffle and the best cake competition, 40 had entered both the raffle and the largest pumpkin competition. 30 people had entered both the largest pumpkin and the best cake competition. Altogether 50 people had entered the largest pumpkin competition and 100 the best cake competition. How many people entered just the raffle and no other competition?

Answer 1

Answer: 170+20+70+40+30+50+100=480

600-480=120

120 is the answer.

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