Thursday, February 13, 2014

P6 Whole Numbers (Heuristics: Guess and Check, Algebra)

A courier company charged $18 for every large parcel and 
$10 for every small parcel safely delivered.  
However, it paid paid a penalty of $20 for every lost or damaged parcel regardless of size.  
If the company delivered 145 parcels (inclusive of safely-delivered or damaged ones)
and collected an amount of $1030, how many of each type of parcels did it deliver safely?  
(ie. how many Large, Small and Damaged parcels were delivered)
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WARNING: There are many, but finite number of, solutions to this problem.  Can you find them all? :)

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Here's my solution together with some insights into the problem. Check this out:
https://docs.google.com/document/d/1HI3C1ASeJgXVLSLkOWpO4R6zczlQdLuet2fIEB04Rec/pub