alanforde800Maximus wrote:Bucket A is 1/4 full of water and bucket B, which has three times the capacity of bucket A, is 3/4 full of water. If all the water in bucket A is poured into bucket B, then bucket B will be filled to what fraction of its capacity?
A. 1
B. 1/2
C. 5/6
D. 11/12
E. 7/6
Let the capacity of A = 4 liters.
Since A is 1/4 full, the amount of water in A = (1/4)(4) = 1 liter.
Since the capacity of B is 3 times that of A, the capacity of B = 3*4 = 12 liters.
Since B is 3/4 full, the amount of water in B = (3/4)(12) = 9 liters.
After the 1 liter of water in A is poured into B, the total amount of water in B = 1+9 = 10 liters.
Resulting fraction:
(total water in B)/(capacity of B) = 10/12 = 5/6.
The correct answer is
C.
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