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 1/3 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?	Pick:	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:   1/2ssume H = 30 books   H = 1/2 M --&gt; M = 60 books   1/2fter:   H' = 1/3H = 10 books   M' = 1/3M = 20 books   Total = 30 books   M' = 30 = 1/2*60   Ratio: 1/2   1/2ns: 1/2
<result>A</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 1/3 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?