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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 capacit

User Corey Ross
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Answer:

2/3

Explanation:

Let x be the number of books that Millicent has. So the number of books that Harold has is x/2. And the number of book that Harold is bringing to the new home is (x/2)/3 = x/6.

The home has enough room for another half of Millicent's books, which is x/2. So the total books capacity of the new home is


(x)/(6) + (x)/(2) = (x)/(6) + (3x)/(6) = (4x)/(6) = (2x)/(3)

Since x is also the number of books in Millicent's old library capacity, we can conclude that the fraction of Millicent's old library capacity to the new home's library capacity is 2/3, or 2 thirds

User Anson Smith
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