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  Pick one
A) 1/2
B) 2/3
C) 3/4
D) 4/5
E) 5/6
Because we see H willbring 1/3 of his booksto the new home --&gt; try to pick a number that isdivisible by 3.   Before:   Assume H = 30 books   H = 1/2 M --&gt; M = 60 books   After:   H' = 1/3H = 10 books   M' = 1/2M = 30 books   Total = 40 books   M' = 40 = 5/6*60   Ratio: 5/6   Ans: 5/6
<result>E</result>
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