The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% 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 20% less than the number there from 10 a.m. to 11 a.m. If 92 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) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50 Hmmm, my stream of consciousness:
User
No of people from 10 - 11 is x\nNo of people from 11 - 12 is 4x/5\nNo of people from 12 to 1 is (13/10)(4x/5)\nGiven that 4x/5 + (13/10)(4x/5) = 92x/50 = 92\nThen x = 50 So, the answer is (E).
Assistant