nidhis.1408 wrote:A full bottle contains 40% oil, 20% vinegar, and 40% water. The bottle is poured into a larger bottle, four times as big as the original. the remaining space in the larger bottle is then filled with water. If there was 8 ml of oil in the original bottle, how much water is in the final mixture?
Since the smaller bottle is 40% oil and 40% water, the amount of oil = the amount of water.
Thus, oil = water = 8.
Since the percentage of vinegar is 20% -- half of 40% -- the amount of vinegar = 4.
Thus, the volume of the smaller bottle = 8+8+4 = 20.
Since the larger bottle is 4 times as big, the volume of the larger bottle = 4*20 = 80.
After the 20ml from the smaller bottle has been poured in, the amount of water needed to fill the larger bottle = 80-20 = 60.
Total amount of water = 8+60 = 68.
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