Student: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 100\n(B) 20\n(C) 30\n(D) 40\n(E) 50.
Another student: Let's say, hmmm...

User
No of people from 10 - 11 is x\nNo of people from 11 - 12 is 11x/10\nNo of people from 12 to 1 is (6/5)(11x/10)\nGiven that 11x/10 + (6/5)(11x/10) = 121x / 50 = 242\nThen x = 100 Final answer: (A).
Assistant