Major Math Challenge for me. Any help is truly appreciated.

hollow

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Thanks for helping this newbie (noob)to the forum. I have spent hours on this problem, probably overthinking it? I created pictures/visuals as a support, charts, and various approaches. Thanks in advance for your time, consideration and support with this word problem challenge (at least for me it is :)). Again I tried many combinations when dividing the barrels by 3. Only being able to split one barrel also makes it tricky, but I think it will match an equivalent to make the division easier, but the trial and error of combinations is getting me nowhere. I hope this made sense.

I know that each friend needs an equal amount of barrels, not an equal amount from each group(so to speak) and split one of the 20 or do I, I am not clear there. Friend 1 could possibly have 6 full barrels and 2/3 of one of them split, but which one, or which combination of distribution, friend 2 could have 9 1/2 full and 2 full, then??? A lot of trial and error. Thanks again for your patience and support
Regards,
Hollow

Please let me know if I didn't follow proper forum protocol. Here is the problem:


Brian has 20 barrels of monkeys. 7 are full barrels. 9 are ½ full barrels. 2 are ¾ full, and the last 2 are are 1/8 full. Brian is getting rid of his monkeys. How can Brian divide all of the barrels between his 3 friends so that they have an equal amount of monkeys? * He can only split 1 barrel.


7 are full or 7/1
9 are 1/2 full or 9/2
2 are 3/4 full
2 are 1/8
I have endless examples of combinations that don't work (it seems) for
Friend1
Friend2 Friend3



 
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Thank you so much. I am just trying to process how you arrived at 24 for a full barrel to start as opposed to 16 for example. I would love to know what I missed there. Please pardon any excess in questions. So much appreciated.


Edit### I get it based on the minimum amount you mentioned. I can now get some sleep
:D You are great!
 
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