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# Of the science books in a certain supply room, 50 are on

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Joined: 14 Dec 2005
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Of the science books in a certain supply room, 50 are on [#permalink]  26 Feb 2006, 09:40
Of the science books in a certain supply room, 50 are on botany,
65 are on zoology, 90 are on physics. 50 are on geology, and 110
are on chemistry. If science books are removed randomly from the
supply room, how many must be removed to ensure that 80 of the
books removed are on the same science?
(A) 81
(B) 159
(C) 166
(D) 285
(E) 324
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Re: Problem Solving Help [#permalink]  26 Feb 2006, 11:09
E. 50+50+65+79+80 = 324
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Since we need 80 books, it can't books on botany, zoology or geology . Assume the worst case:

all botany, zoology and geology books are picked --> 50+65+50 = 165
Assume 79 physics books are taken --> 165+79 = 244
Then we need 80 chemistry books --> 244+80 = 324

Ans E
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