Equal amount of water is poured into two emply jars of diff. capacities, which make of jar 1/4 and teh other 1/3 full. If water in the jar with the lesser capacity if pour into the one with the greater, what fraction of the large will be filled?
1/7
2/7
1/2
7/12
2/3
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isisalaska
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the jar with greater capacity must be the one which is 1/4 full.isisalaska wrote:Equal amount of water is poured into two emply jars of diff. capacities, which make of jar 1/4 and teh other 1/3 full. If water in the jar with the lesser capacity if pour into the one with the greater, what fraction of the large will be filled?
1/7
2/7
1/2
7/12
2/3
so same amount of water again poured into that jar ,
it will become 1/4 + 1/4= 1/2
Answer: 1/2
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Note that Jar 1 and Jar 2 is of different measurements/capacity buy equal volume or amount of water is poured into both jars and this made the big jar 1/4 full. it is the same volume or amount of water that is present in the smaller jar. if it is poured into the one with greater capacity, it will be =
= 1/4 + 1/4
because we are dealing with same volume of water
=[((8/4)*1) + ((8/4)*1)] / 8
=1/2
Therefore, if the water in the jar with lesser capacity is poured into the one with greater capacity 1/2 fraction of the larger jar will be filled up
= 1/4 + 1/4
because we are dealing with same volume of water
=[((8/4)*1) + ((8/4)*1)] / 8
=1/2
Therefore, if the water in the jar with lesser capacity is poured into the one with greater capacity 1/2 fraction of the larger jar will be filled up
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Scott@TargetTestPrep
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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.isisalaska wrote:Equal amount of water is poured into two emply jars of diff. capacities, which make of jar 1/4 and teh other 1/3 full. If water in the jar with the lesser capacity if pour into the one with the greater, what fraction of the large will be filled?
1/7
2/7
1/2
7/12
2/3
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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