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Given: A grocer is storing small cereal boxes in large cartons that measure 25 inches by 42 inches by 60 inches.
Asked: If the measurement of each small cereal box is 7 inches by 6 inches by 5 inches, then what is the maximum number of small cereal boxes that can be placed in each large carton?

Maximum small cereal boxes that can be placed in each large carton = 42*60*25/7*6*5 = 6*10*5 = 300

IMO D
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Kinshook
Given: A grocer is storing small cereal boxes in large cartons that measure 25 inches by 42 inches by 60 inches.
Asked: If the measurement of each small cereal box is 7 inches by 6 inches by 5 inches, then what is the maximum number of small cereal boxes that can be placed in each large carton?

Maximum small cereal boxes that can be placed in each large carton = 42*60*25/7*6*5 = 6*10*5 = 300

IMO D

Thank you. Yes, but it seems that to reply a question like this, isn't only necessary to divide the numbers.

I don't know, I got confused when I saw this question here:

https://gmatclub.com/forum/a-grocery-is ... l#p2512253

The answer is that none of the statements are sufficient to respond the question even though one of them gives the volume of each box.

What I mean is that in this question, it's pretty straightforward finding the answer by making a division in this question because the bigger is multiple of the smaller one.

But, if this didn't happen? What would be my procedure to solve a question like this?

Simply divide measure by measure until finding a combination that gives to me the greater number of boxes possible?

Thank you in advance.

Posted from my mobile device
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josenetofaria
A grocer is storing small cereal boxes in large cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each small cereal box is 7 inches by 6 inches by 5 inches, then what is the maximum number of small cereal boxes that can be placed in each large carton?

A) 25
B) 210
C) 252
D) 300
E) 420

Among the various combinations we see that when sides are aligned such that \(\frac{25}{5}*\frac{60}{6}*\frac{42}{7}\) =5*10*6= 300

This way we can fit maximum number of small cereal boxes.

Hope it's clear.
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