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Venn diagram

by finance » Tue Jul 05, 2011 1:24 am
Question13
Each of 435 bags contains at least one of the following three items: raisins, almonds, and
peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain
only peanuts. The number of bags that contain only almonds is 20 times the number of bags that
contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the
number of bags that contain only almonds. 210 bags contain almonds. How many bags contain
only one kind of item?
(A) 256
(B) 260
(C) 316
(D) 320
(E) It cannot be determined from the given information.
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by StoneBlack » Tue Jul 05, 2011 3:09 am
Is the answer 320 or [D].
Venn Diagram deduction shows it is but not sure.
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by finance » Tue Jul 05, 2011 6:36 am
yes you are right! it took me a while to figure out this question, but when you solve by Venn it can be solved in a second.
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by artistocrat » Tue Jul 05, 2011 6:53 pm
Formulas are not as quick as Venn here. Just be careful and track the segments without overlapping or omitting.

variable x=5
320
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