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traininator

  • 2 years ago

Suppose you have a large coffee can full of pennies. How can you estimate how much money the can contains without counting all the coins? (Hint: What is the relationship between the mass of pennies and the number of pennies?)

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  1. Kainui
    • 2 years ago
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    Suppose you cut off one foot and weigh it. Then you cut off your other foot and put it on the scale. How much do both feet probably weigh together?

  2. traininator
    • 2 years ago
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    what???

  3. Kainui
    • 2 years ago
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    Suppose I have a keg filled with monkey brains. Now if I know 1 monkey brain is 5 pounds and I weigh the keg and it weighs 20 pounds, I know there are 4 brains in the keg because each one weight 5 pounds. 20 pounds of brains divided by 5 pounds per brain gives you 4 brains.

  4. traininator
    • 2 years ago
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    what the hell man just answer my question and stop being wierd

  5. PurpleNose
    • 2 years ago
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    To answer your hint: density.

  6. traininator
    • 2 years ago
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    can someone please just give me the answer -_-

  7. radar
    • 2 years ago
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    I would weigh the can of pennies. I would then weigh the can. Subtract the weight of the can from the combined weight giving you the weight of the pennies. Then weigh one penny. Do the appropriate math and get an answer which will be accurate if all the pennies are consistent.

  8. traininator
    • 2 years ago
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    thanks

  9. theEric
    • 2 years ago
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    Haha, yeah. The thing is, you have a certain number of pennies, say n (pennies). Each one has a weight, say w (in ounces). Then your total weight of the cup is the number of pennies times the weight of one. Say the total weight is t. Then\[t=n*w\] Therfore you can solve for n (number of pennies) \[n=\frac{t}{w}\]

  10. radar
    • 2 years ago
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    You're welcome, and please note there may be other methods.

  11. Kainui
    • 2 years ago
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    Methods that involve cutting off feet and weighing monkey brains?

  12. theEric
    • 2 years ago
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    In practice, however, you would need to know the weight of the can. It would be part of the total weight, t.

  13. theEric
    • 2 years ago
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    \[numberOfPennies = \frac{weight Of Pennies + weightOfCan}{weightPerPenny}\]

  14. radar
    • 2 years ago
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    Since the can contains a certain amount of pennies, of which some may be a rare collectors item, the amount of money they are worth is debatable.

  15. theEric
    • 2 years ago
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    Very true.

  16. jagatuba
    • 2 years ago
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    Thank you @theEric for the only truly sensible (and correct) answer in this thread. Medal to you good sir.

  17. theEric
    • 2 years ago
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    Thank you! :)

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