What is the maximum number of people who bought tickets for all the three movies?
Explanation:
All of them buy at least 1 ticket.
Let number of people buying tickets for exactly 1 movie = a 2 movies = b 3 movies = c
⇒ a + b + c = 1000 ...(1)
Also, when we add number of tickets bought for Avengers (400), Interstellar (500) and Eat Pray & Love (600) we would add 'a' once, 'b' twice and 'c' thrice. ⇒ a + 2b + 3c = 400 + 500 + 600 ⇒ a + 2b + 3c = 1500 ...(2)
(2) - (1) ⇒ b + 2c = 500
The highest possible value of 'c' here is 250.
In this case b = 0 [from (2)] and a = 750 [from (1)]
This case is as follows:
Hence, option (d).
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