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Overlapping Sets - Problem 4

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by aditiniyer » Wed Feb 01, 2017 10:41 pm
Each of 435 bags contains at least one of the following three items: raisins, almonds & 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 1/5th 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) 350
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by GMATGuruNY » Thu Feb 02, 2017 4:11 am
I posted a solution here:
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