A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water is in one fully filled bucket?
A. 14/15
B. 2 7/15
C. 8 2/5
D. 6 4/5
We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.
First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.
Therefore, the Correct Answer is C.