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Rations question

by MI3 » Sun Jun 19, 2011 9:08 pm
Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/2 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?
A. ½
B. 2/3
C. ¾
D. 4/5
E. 5/6

IMO - B, am I correct?
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by Frankenstein » Sun Jun 19, 2011 9:13 pm
Hi,
h = m/2
Harold brings h/3 = m/6
Millicent brings m/2
Capacity of new library = h/3 + m/2 = 2m/3 = 2/3(Millicent's old library capacity)

Hence, B
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by amit2k9 » Sun Jun 19, 2011 10:08 pm
let the books be H - 60 and M - 120

brought books = 20 and 60 = total = 80

thus capacity = 80/120 = 2/3
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