Initially, the men and women in a room were in the ratio of 9 : 5. After 5 minutes, 3 women entered the room and 2 men left the room. Now there are 47 men in the room. Then, the number of women doubled. How many women are currently in the room? Choose the correct answer
A) 56  B) 65  C) 15  D) 34  E) 36
Working backwards: 47 men - 2 men = 45 men in the room initially.   From ratio men : women = 9 : 5 = 1 : 5/9 we have:   women in the room initially = (5/9)(45) = 25.   From this we work forward: (2)(25 women + 3 women) = 56 women in the room.   56nswer: 56
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Initially, the men and women in a room were in the ratio of 9 : 5. After 5 minutes, 3 women entered the room and 2 men left the room. Now there are 47 men in the room. Then, the number of women doubled. How many women are currently in the room?