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

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Of the science books in a certain supply room, 50 are on [#permalink]  09 Apr 2006, 06:37
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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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E.

Essentially, in this type of problem, you are trying to delay getting 80 books as much as possible.

First I would add up all the books that can't give us 80 (botony, zoology, and geology).

Then I would alternate between chemistry and physics until I reach 79 of each.
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