SOLUTION: Many products are shrink wrapped and shipped in corrugated trays. The following figure shows one way a popular product is shipped. There are 24 bottles arranged in four rows and si

Question 974812: Many products are shrink wrapped and shipped in corrugated trays. The following figure shows one way a popular product is shipped. There are 24 bottles arranged in four rows and six columns.
A. If 10 bottles are removed, how can you arrange the remaining 14 bottles so that each row and each column contain an odd number of bottles?
B. If 14 bottles are removed, how can you arrange the remaining 10 bottles along the edges of the tray so that there is the same number of bottles along each edge?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

There is nothing in the problem that says all of the rows or columns have to contain the same number of bottles, simply that the number of bottles in each row and column must be odd.

If you have two bottles in corners, then these two bottles are doing double duty as far as number of bottles on a side are concerned. Hence, 10 bottles can do the work of 12 (four times three) if you have two in the corners.

John

My calculator said it, I believe it, that settles it

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