Applied math - using numbers in real life situations

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Paul_Masters

12, right?

Paul_Masters

if that's too cheesy, 24

Paul_Masters

oh, I must have misread it

Paul_Masters

I thought you asked the minimum length that could be divided by 12-15

Paul_Masters

I don't quite understand the question. Could you elaborate?

Account_Suspended

OK. There is a minimum length of wood so that any length beyond it, it can be divided by a number between 12 and 15 with no waste. What is that minimum length?

 

[you did answer correctly the first time based on my failure of writing out the question correctly but i made the pertinent correction, so now proceed]

Paul_Masters

does that mean all numbers between 12 and 15? And if so, does that mean integers? And including 12 and 15?

Paul_Masters

or just one number between the two

Account_Suspended

Any number

Paul_Masters

including decimals?

Account_Suspended

yessssssssssssssssssss

 

 

Account_Suspended

no waste meaning if u have a piece 32" and u make two 15" long pieces out of it, you'd have 2" of waste...a size less than 12".

Paul_Masters

i'm with r8j

Paul_Masters

for example, one of the numbers beyond will be a decimal, and since you divide by all numbers between 12 and 15, that includes integers. You can't evenly divide a decimal by integers

Account_Suspended

You adding 0.1 would not be the MINIMUM length though. Logically it cannot be if you added more.

Account_Suspended

shall i show the solution now?

Paul_Masters

yeah, sure

Account_Suspended
r8j wrote:

You did not ask for a minimum length, you asked for a length that not matter what is added to it, it can be divided with no waste.

If you don't understand your own question, then don't expect others to find a solution.

I wrote it fine. Please hold back your accusations unless you really are certain you know what you are saying.

Paul_Masters

Well, what's the solution?

Account_Suspended

Say if the solution is x and y is a positive number. Then as long as the piece is x+y in length it could be cut into pieces ranging from 12 to 15 with no waste, ASSURED. You see my question is posed so you would not have to be scrutinizing an exact figure for all the cuts, if you are cutting up a very long piece into sections that you could later process. If you were a tree cutter you would understand the issue.

If there is a minimum length say 29 (which is not the answer), then i'd know i could also cut a piece 29.3, 30.4, 30.6, 31.7 and all of these would also be able to be cut into the length constraints I mentioned and having ZERO waste.