SOLUTION: Twenty water tanks are decreasing in size in such a way that the volume of each tank is 0.5 the volume of the previous tank. The first tank is empty, but the other 19 tanks are ful
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Question 973185: Twenty water tanks are decreasing in size in such a way that the volume of each tank is 0.5 the volume of the previous tank. The first tank is empty, but the other 19 tanks are full of water. Would it be possible for the first water tank to hold all the water from the other 19 tanks? Motivate your answer.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Twenty water tanks are decreasing in size in such a way that the volume of each tank is 0.5 the volume of the previous tank. The first tank is empty, but the other 19 tanks are full of water. Would it be possible for the first water tank to hold all the water from the other 19 tanks? Motivate your answer (¿que?).
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Yes, it will hold all the water.
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Use binary counting.
1111111111111111111 = 2^20 - 1
10000000000000000000 = 2^20 which is greater than the 19 1's.
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