leafsrule99 wrote:
Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/4 full and other jar 1/3 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
A. 1/7
B. 2/7
C. 1/2
D. 7/12
E. 2/3
Let’s say that one jar has a capacity of 16 liters and the other, 12 liters. So, when equal parts
water are poured into each jar, one jar has 4 liters and the other has 4 liters. When the contents of the small jar (4 liters from the 12-liter jar) are poured into the larger jar (4 litters in the 16-liter jar), the larger jar is now 8/16 = 1/2 full.
Alternate Solution:
Consider only the larger jar. When the first amount of
water is poured into it, the jar becomes ¼ full. Now, a second amount of
water, which is actually equal to the first amount, is poured into the larger jar. This second amount of
water is also equivalent to ¼ of the jar’s capacity. Thus, the jar is now ¼ + ¼ = ½ full.
Answer: C
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