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Tom is going to move, he has three kinds of boxes: large,

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Manager
Joined: 01 Jun 2006
Posts: 139
Tom is going to move, he has three kinds of boxes: large, [#permalink]

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05 Sep 2006, 22:26
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Tom is going to move, he has three kinds of boxes: large, medium, and small. Now he has already 11 large boxes, each of which is either empty or filled with 6 medium boxes. Medium boxes are filled in the large boxes and each of them is either empty or filled with 6 small boxes. Small boxes are empty and filled in the medium boxes. How many boxes does Tom have?

1). he has 56 empty boxes
2). he has 42 small boxes
Senior Manager
Joined: 11 May 2006
Posts: 258

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06 Sep 2006, 00:39
quangviet512 wrote:
Tom is going to move, he has three kinds of boxes: large, medium, and small. Now he has already 11 large boxes, each of which is either empty or filled with 6 medium boxes. Medium boxes are filled in the large boxes and each of them is either empty or filled with 6 small boxes. Small boxes are empty and filled in the medium boxes. How many boxes does Tom have?

1). he has 56 empty boxes
2). he has 42 small boxes

I pick A

11 Large
say x filled , then 11 -x empty

=> 6x Medium boxes
say y filled, then 6x-y empty

=> 6y Small boxes

so we need to find, 11 + 6(x+y) ...

now 1 says
(11 -x) + (6x-y) + 6y = 56
=> 5x + 5y = 45
=> x + y = 9

so we can find 11 + 6(x+y) - hence sufficient

2 says

6y= 42

Re: DS-Easy or not   [#permalink] 06 Sep 2006, 00:39
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