This week is Maths Week in New Zealand and there is, of course, an extra focus on mathematical activities. This is one problem which was distributed at work.

WEIGHTY BAGS

Five bags were found, but for some unknown reason they could only be weighed in twos or threes.

Bags A and B together wieghed 12 kg.

Bags B and C together weighed 13.5 kg.

Bags C and D together weighed 11.5 kg.

Bags D and E together wieghed 8 kg.

What was the weight of each bag?

PM me with the answer. Twollars proportional to the weight of each bag will be given to the first five correct solutions.

Bonus Twollars will be given to an explanation of how the solution was reached. The explanation has to be one that I can understand and one which I think others could understand when it is poste.

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