Answer:
11 1/5 gallons of water
Step-by-step explanation:
Let the full capacity of bucket be x gallon
given that
bucket is 1/4 full
the quantity of water in bucket when it is 1/4 full = 1/4 * full capacity of bucket
the quantity of water in bucket when it is 1/4 full = 1/4 * x = x/4
Given that
when bucket is 1/4 full , it has 2 4/5 gallons of water
thus
x/4 = 2 4/5 gallons
x /4 = (5*2 + 4)/5 gallons = 14/5 gallons
x = (14*4)/5 gallons = 56/5 gallons = 11 1/5 gallons
Thus, there will be 11 1/5 gallons of water in fully filled bucket.
