BucketOfQuarters: Difference between revisions
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'''Goal:''' | |||
Goal: | |||
Solution: | Guess the value of a 5 gallon bucket of quarters. | ||
'''Solution:''' | |||
Money = Value of one quarter x Number of quarters | Money = Value of one quarter x Number of quarters | ||
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There may be more elegant mathematical approaches, but this is a good old fashioned engineering approach. | There may be more elegant mathematical approaches, but this is a good old fashioned engineering approach. | ||
[[Category:Puzzles]] | |||
[[Category:Engineering]] | |||
Revision as of 11:35, 17 April 2017
Goal:
Guess the value of a 5 gallon bucket of quarters.
Solution:
Money = Value of one quarter x Number of quarters
Number of quarters = Mass of all quarters / Mass of single quarter
Mass of quarters = Density of quarters * Volume of quarters
Volume of quarters = Volume of container * packing factor
To determine packing factor, load up a container with quarters, pour in some water, pour out the water, measure its volume
Volume of water / volume of container gives packing factor
Can see if size of container affects measurements (edge effects of packing, circle packing)
There may be more elegant mathematical approaches, but this is a good old fashioned engineering approach.