SOLUTION: #6. Before Joey paints his house, he puts blue paint into 2 buckets of different sizes. He notices that the volume of the larger bucket is 3 times the volume of the smaller bucket.

Algebra ->  Testmodule -> SOLUTION: #6. Before Joey paints his house, he puts blue paint into 2 buckets of different sizes. He notices that the volume of the larger bucket is 3 times the volume of the smaller bucket.      Log On


   



Question 1199517: #6. Before Joey paints his house, he puts blue paint into 2 buckets of different sizes. He notices that the volume of the larger bucket is 3 times the volume of the smaller bucket. Joey estimates that the larger bucket is 1/4 full and the smaller bucket is one-third full. He decides to pour all the paint in the larger
bucket. After that, how full is the larger bucket?

Answer by ikleyn(52890) About Me  (Show Source):
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#6. Before Joey paints his house, he puts blue paint into 2 buckets of different sizes.
He notices that the volume of the larger bucket is 3 times the volume of the smaller bucket.
Joey estimates that the larger bucket is 1/4 full and the smaller bucket
is one-third full. He decides to pour all the paint in the larger
bucket. After that, how full is the larger bucket?
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At the beginning, the small bucket was 1/3 full.


It means that the volume of the blue paint in the small bucket was  %281%2F3%29%2A%281%2F3%29 = 1%2F9  of 
the volume of the large bucket.


Hence, the total volume of the paint in the large bucket after pouring is

    1%2F4 + 1%2F9 = 9%2F36+%2B+4%2F36 = 13%2F36  of the volume of the large bucket.


ANSWER. After pouring all the paint in the larger bucket, it is  13%2F36  gull.

Solved.