Given:
1. Two bottles are partially filled with water.
2. The larger bottle currently holds 1/3 of its capacity.
3. The smaller bottle, which has 2/3 of the capacity of the larger bottle, currently holds 3/4 of its capacity.
Asked: If the contents of the smaller bottle are poured into the larger bottle, the larger bottle will be filled to what fraction of its capacity?
Let the capacity of larger bottle be V
The larger bottle currently holds 1/3 of its capacity. = V/3
The smaller bottle, which has 2/3 of the capacity of the larger bottle = 2V/3
currently holds 3/4 of its capacity. = V/2
If the contents of the smaller bottle are poured into the larger bottle, the larger bottle will be filled = V/3 + V/2 = 5V/6
The larger bottle will be filled to what fraction of its capacity = (5V/6)/V = 5/6
IMO A
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