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The rain in Spain (Posted on 2017-09-05) Difficulty: 2 of 5
In Barcelona during a certain week the average daily rainfall from Sunday to Friday exceeded the average from Monday to Saturday by 16.667%.
The week was on the average just as wet as Sunday.

What was the fall on Saturday?

No Solution Yet Submitted by Ady TZIDON    
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re: How do we treat evaporation? (spoiler) | Comment 2 of 3 |
(In reply to How do we treat evaporation? (spoiler) by Steve Herman)

Great start, Steve! However, your solution assumes the same rainfall each day, Sun through Fri. But that isn't necessarily so.


From fact #1: Sun + M+ ... + F = (7/6) * (M + . . . + F + Sat) 

Simplifying:   6 * Sun = M + . . . + F + 7 * Sat  -----------> Eq. 1

From fact #2:    (Sun + M + . . . + Sat) / 7 = Sun

Simplifying:           M + . . . + F + Sat =   6 * Sun   -------> Eq. 2

From eq. 1 & 2:   M + . . . + F + Sat = M + . . . + F + 7 * Sat

=>   0 = 6 * Sat

So, Sat = 0   (i.e., Saturday was dry.)



  Posted by JayDeeKay on 2017-09-05 22:45:32
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