A bucket with a capacity of six gallons was filled with water. Someone used two-thirds of the water.
Another person then took away a quarter of the rest. Later 1 2/5
gallons of water were poured into
the bucket. How much water is in the bucket?

  2.9 gallons

Step-by-step explanation:

The amount there now is ...

 (6 gal)(1 -2/3)(1 -1/4) +1 2/5 gal

 = (6 gal)(1/3)(3/4) +1 2/5 gal

 = (1 1/2 gal) +(1 2/5 gal)

 = (1 5/10 + 1 4/10) gal = 2 9/10 gal

There are 2 9/10 gallons of water in the bucket.

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