Hi All,
While this question is awkwardly-worded, it is essentially a 'limit' question. From the prompt, we know that each of the 10 theaters sold AT LEAST 80 tickets. We're asked if the average number of tickets sold for each theater was GREATER than 90? We can 'rewrite' this prompt - it's asking "Is the TOTAL number of tickets sold greater than 900?" This is a YES/NO question.
1) Number of movie theaters that sold at least 100 tickets were more than half of the total number of movie theaters.
This Fact tells us that MORE than half of the theaters sold at least 100 tickets. That would be at least 6 theaters (at the minimum)...
(6 theaters)(100 tickets each) = 600 tickets
From the prompt, we know that each theater sold AT LEAST 80 tickets, so we can find the minimum total that the other 4 theaters sold...
(4 theaters)(80 tickets each) = 320 tickets
Total MINIMUM number of tickets sold = 600 + 320 = 920 tickets. Increasing the number of theaters that sold at least 100 tickets would increase the total number of tickets sold. Thus, the answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT
2) In 4 movie theaters of the total number of movie theaters, number of each tickets sold were more than 105.
We can deal with Fact 2 in the same general way that we dealt with Fact 1...
(4 theaters)(more than 105 tickets each) = more than 420 tickets
Each of the other theaters sold AT LEAST 80 tickets, so we can find the minimum total that the other 6 theaters sold...
(6 theaters)(80 tickets each) = 480 tickets
Total MINIMUM number of tickets sold = (more than 420) + 480 = more than 900 tickets. Thus, the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich