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Puzzle Story - A Grain of Grain
Posted 17 January 2013 - 11:22 AM
"It's not the dress that makes you look fat, it's the fat that makes you look fat." - Al Bundy
"Ow" - Dylan Bundy
Posted 17 January 2013 - 04:32 PM
So the total expected weight would be:
sum((1:20)*10) = 2100 lb
Also, since the Lord knows how much he'd be shorted by the water trick, we will assume that the water trick cuts down on the amount of grain in the bag, by 10% of the grain. Thus, the weight of grain that the lord would be shorted in a given bag comes out to:
0.1 * 10 lb = 1 lb/bag
Now, let's assume that the Lord knows all of the above information, and all the peasants come and drop off their bags, and the total weight comes out to 2083 lb, instead of 2100 lb. He could then conclude that he was shorted by:
2100 lb - 2083 lb = 17 lb.
And assuming that the guilty party (assuming there was only one) used the water trick, he would know that they had a a certain number of bags:
17 lb / 1 lb./bag = 17 bags.
Theretofor, I conclude that it was the 17th peasant, the one with 17 bags of grain! The one-armed peasant, your honor! He's the one you want!
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