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A Permissible Weight Problem (Posted on 2006-05-29) Difficulty: 3 of 5
An airport charges a passenger a fixed amount for each kilogram (kg) over the maximum allowed weight his luggage is.

On one trip, they had 270 kg of luggage together. Mr. Bryant was fined $1000, Mr. Cervi was fined $500, and the amount of fine incurred by Mr. Astruc was not known to them.

On another trip where Mr. Cervi could not attend, Mr. Astruc and Mr. Bryant together carried the same amount of luggage (270 kg) in the same relative proportion. Mr. Astruc was charged $962.50 more and Mr. Bryant was charged $787.50 more than the previous trip.

What is the maximum allowed weight, and how much luggage did each passenger carry on each trip?

See The Solution Submitted by K Sengupta    
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  Subject Author Date
SolutionSalil2006-05-30 03:44:04
Solutionspreadsheet solution (spoiler)Charlie2006-05-29 14:35:08
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