SOLUTION: The weight of a plastic pail is 20% of the weight when it is filled with water.After a certain amount of water has been poured out, the weight of the pail and the remaining water
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Question 1097844: The weight of a plastic pail is 20% of the weight when it is filled with water.After a certain amount of water has been poured out, the weight of the pail and the remaining water is 60% if the original total weight. What percent of water remained in the pail? Answer by ikleyn(52800) (Show Source):
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The weight of a plastic pail is 20% of the weight when it is filled with water.After a certain amount of water has been poured out,
the weight of the pail and the remaining water is 60% if the original total weight. What percent of water remained in the pail?
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Let P be the weight of the plastic pail alone and let W be the weight of water when it is fills the pail.
Then the first part of the condition gives you this equation:
P = 0.2*(P+W). (1)
Let R be the weight of the remaining amount of water.
Then the second part of the condition gives you another equation
P + R = 0.6*(P+W). (2)
From (1), you have
P = 0.2P + 0.2W ====> 0.8P = 0.2W ====> P = = . (3)
From (2), you have
P + R = 0.6*(P+W) = 3*0.2*(P+V) = 3P ====> R = 3P - P = 2P ====> substitute P = from (3) ====>
R = = = 0.5W.
Hence, the weight of the remaining water R is 0.5W.
In other words, the percent of water remained in the pail is 50%.