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Ok, this isn’t the normal “potato” humor of G+ this is a serious issue.

Ok, this isn’t the normal “potato” humor of G+ this is a serious issue.

In some paradoxical potato dimension you have 1000 lbs of potatoes. and they are “pure potatoes” (mind you the materials may not be exactly correct but it works the same). you have in that 1000lbs of potato 99% water and 1% “potato stuff”. Over night, 1% of the water evaporates, how much does your sack of potatoes weigh?

Answer later. Discuss

57 thoughts on “Ok, this isn’t the normal “potato” humor of G+ this is a serious issue.

  1. -991- 990.1 pounds (assuming the sack has no weight)

    revised answer was done using a calculator, first answer was not. logic was sound

    Could be written as a two step iterative.

  2. -991- 990.1 pounds (assuming the sack has no weight)

    revised answer was done using a calculator, first answer was not. logic was sound

    Could be written as a two step iterative.

  3. -991- 990.1 pounds (assuming the sack has no weight)

    revised answer was done using a calculator, first answer was not. logic was sound

    Could be written as a two step iterative.

  4. The weight of water in the fresh potatoes is 0.99*1000.

    If x is the weight of water lost from the potatoes when they dehydrate then 0.98(1000 – x) is the weight of water in the dehydrated potatoes. Therefore:

    0.99 * 1000 – 0.98(1000 – x) = x

    1000 – x = 1000 – 500 = 500 

  5. The weight of water in the fresh potatoes is 0.99*1000.

    If x is the weight of water lost from the potatoes when they dehydrate then 0.98(1000 – x) is the weight of water in the dehydrated potatoes. Therefore:

    0.99 * 1000 – 0.98(1000 – x) = x

    1000 – x = 1000 – 500 = 500 

  6. The weight of water in the fresh potatoes is 0.99*1000.

    If x is the weight of water lost from the potatoes when they dehydrate then 0.98(1000 – x) is the weight of water in the dehydrated potatoes. Therefore:

    0.99 * 1000 – 0.98(1000 – x) = x

    1000 – x = 1000 – 500 = 500 

  7. Reread the problem.

    The weight of the water is 990 lbs.

    1% of 990 is 9.9 lbs.

    990 – 9.9 = 980.1.

    Add back the 10 lbs of “stuff” and you have a total remaining weight of 990.1 lbs in the sack.

  8. Reread the problem.

    The weight of the water is 990 lbs.

    1% of 990 is 9.9 lbs.

    990 – 9.9 = 980.1.

    Add back the 10 lbs of “stuff” and you have a total remaining weight of 990.1 lbs in the sack.

  9. Reread the problem.

    The weight of the water is 990 lbs.

    1% of 990 is 9.9 lbs.

    990 – 9.9 = 980.1.

    Add back the 10 lbs of “stuff” and you have a total remaining weight of 990.1 lbs in the sack.

  10. Art E You still made an error in calculating percentage. And where did the 500 come from? Nevermind

    Your equation [0.99 * 1000 – 0.98(1000 – x) = x]  is incorrect.

    The problem states that “1% of the water evaporates”. The water is only 99% of the contents.

    The amount of water lost,

    x = 0.01 (0.99 * 1000)

       = 0.099 * 1000

       = 9.9

  11. Art E You still made an error in calculating percentage. And where did the 500 come from? Nevermind

    Your equation [0.99 * 1000 – 0.98(1000 – x) = x]  is incorrect.

    The problem states that “1% of the water evaporates”. The water is only 99% of the contents.

    The amount of water lost,

    x = 0.01 (0.99 * 1000)

       = 0.099 * 1000

       = 9.9

  12. Art E You still made an error in calculating percentage. And where did the 500 come from? Nevermind

    Your equation [0.99 * 1000 – 0.98(1000 – x) = x]  is incorrect.

    The problem states that “1% of the water evaporates”. The water is only 99% of the contents.

    The amount of water lost,

    x = 0.01 (0.99 * 1000)

       = 0.099 * 1000

       = 9.9

  13. But that wasn’t the problem that you stated. There is a difference between a loss of 1% of the water and a reduction in the percentage of water by 1%.. Even in mathematics, language matters.

  14. But that wasn’t the problem that you stated. There is a difference between a loss of 1% of the water and a reduction in the percentage of water by 1%.. Even in mathematics, language matters.

  15. But that wasn’t the problem that you stated. There is a difference between a loss of 1% of the water and a reduction in the percentage of water by 1%.. Even in mathematics, language matters.

  16. Art E The method by which the reduction of water occurs doesn’t matter. What matters is how you specify the relationship of the reduction to the entirety. There is a difference between a reduction from 99% to 98% and a reduction of 1% of 99%. A reduction from 99% to 98% of the total mass does not equal a 1% reduction in the mass of a portion of the total.

    This is something that I always watch out for when things go on sale in stores. 20% off the original price with an additional 50% discount does not always mean 70% off the original price. Sometimes it is less and you end up paying more than you expect.

  17. Art E The method by which the reduction of water occurs doesn’t matter. What matters is how you specify the relationship of the reduction to the entirety. There is a difference between a reduction from 99% to 98% and a reduction of 1% of 99%. A reduction from 99% to 98% of the total mass does not equal a 1% reduction in the mass of a portion of the total.

    This is something that I always watch out for when things go on sale in stores. 20% off the original price with an additional 50% discount does not always mean 70% off the original price. Sometimes it is less and you end up paying more than you expect.

  18. Art E The method by which the reduction of water occurs doesn’t matter. What matters is how you specify the relationship of the reduction to the entirety. There is a difference between a reduction from 99% to 98% and a reduction of 1% of 99%. A reduction from 99% to 98% of the total mass does not equal a 1% reduction in the mass of a portion of the total.

    This is something that I always watch out for when things go on sale in stores. 20% off the original price with an additional 50% discount does not always mean 70% off the original price. Sometimes it is less and you end up paying more than you expect.

  19. Art E But it didn’t come from the water side! The percentage of water at the beginning is 99% of the overall weight. The final percentage of water after dehydration is 98% of the overall weight. It is not a reduction of 1% of the water, but a reduction of 1% of the relative overall weight.

  20. Art E But it didn’t come from the water side! The percentage of water at the beginning is 99% of the overall weight. The final percentage of water after dehydration is 98% of the overall weight. It is not a reduction of 1% of the water, but a reduction of 1% of the relative overall weight.

  21. Art E But it didn’t come from the water side! The percentage of water at the beginning is 99% of the overall weight. The final percentage of water after dehydration is 98% of the overall weight. It is not a reduction of 1% of the water, but a reduction of 1% of the relative overall weight.

  22. Here –> you have in that 1000lbs of potato 99% water and 1% “potato stuff”. Over night, 1% of the water evaporates, how much does your sack of potatoes weigh?

  23. Here –> you have in that 1000lbs of potato 99% water and 1% “potato stuff”. Over night, 1% of the water evaporates, how much does your sack of potatoes weigh?

  24. Here –> you have in that 1000lbs of potato 99% water and 1% “potato stuff”. Over night, 1% of the water evaporates, how much does your sack of potatoes weigh?

  25. In your answer, 1% of the water did not evaporate.

    The actual percentage is 51%.

    The amount of water was reduced by 500 pounds.

    500/990 = 0.5050505050…

    which we will round out to 51%

  26. In your answer, 1% of the water did not evaporate.

    The actual percentage is 51%.

    The amount of water was reduced by 500 pounds.

    500/990 = 0.5050505050…

    which we will round out to 51%

  27. In your answer, 1% of the water did not evaporate.

    The actual percentage is 51%.

    The amount of water was reduced by 500 pounds.

    500/990 = 0.5050505050…

    which we will round out to 51%

  28. Let’s look at this problem in terms of something that wont evaporate. 

    There are 100 coins in a sock. 99% are pennies. How many pennies would you have to remove from the sock for the sock to contain 98% pennies?

    Obviously, pennies don’t evaporate. And running through the same set of equations that you used to solve your potato problem, your answer would be 50 pennies, or just over 1/2 (51%) of the pennies in the sock. 

    In 100 coins: 99 pennies represents 99%

    In 50 coins: 49 pennies represents 98%

  29. Let’s look at this problem in terms of something that wont evaporate. 

    There are 100 coins in a sock. 99% are pennies. How many pennies would you have to remove from the sock for the sock to contain 98% pennies?

    Obviously, pennies don’t evaporate. And running through the same set of equations that you used to solve your potato problem, your answer would be 50 pennies, or just over 1/2 (51%) of the pennies in the sock. 

    In 100 coins: 99 pennies represents 99%

    In 50 coins: 49 pennies represents 98%

  30. Let’s look at this problem in terms of something that wont evaporate. 

    There are 100 coins in a sock. 99% are pennies. How many pennies would you have to remove from the sock for the sock to contain 98% pennies?

    Obviously, pennies don’t evaporate. And running through the same set of equations that you used to solve your potato problem, your answer would be 50 pennies, or just over 1/2 (51%) of the pennies in the sock. 

    In 100 coins: 99 pennies represents 99%

    In 50 coins: 49 pennies represents 98%

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