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Tom is going to move, he has three kinds of boxes: large, [#permalink]
20 Sep 2008, 10:52

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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

I have got the answer but is there any short cut to do these kind of questions???

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 have got the answer but is there any short cut to do these kind of questions???

(2)clearly answers since if count of small boxes is known we can get the rest 1)this needs to be worked , we want total numbr of medium boxes > tital number of empty medium boxes Total medium=TM say empty medium = EM empty large=EL now (11-EL )*6 = TM >EM EM+EL=56 =>(11-EL)*6>=56-EL => EL<2 => EL=2 or 1 hence again two boxes => hence both the cases count of total number of boxs varies !!! IMO B _________________