OG - PS - 73

[OnSunday]

I feel like I'm missing something here.

Equal amounts of water were poured into two empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with the lesser capacity is then poured into the jar with the 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

Shouldn't it be the jar that is 1/4 full (the smaller jar) be poured into the jar that is 1/3 full?
1/4 is 0.25, and 1/3 is 0.333... right?

[Ali]

Equal amounts of water were poured into two empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with the lesser capacity is then poured into the jar with the 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


This is nothing more than a game of words.,

Understand this : Jar1 and Jar2 constitute different measurement, but what is equal is the amount poured so, Let's assume that 4 litres are poured in Jar 1 and 4 in Jar 2.

Jar1 is 1/4 full or it's total volume is x = 16 ( x * 1/4 = 4)
Now volume of Jar 2 is poured into Jar1, but here's what throws us off. We are not supposed to add the percentage but the volume of water poured in Jar2 i.e 4 litres to Jar 1 = so now Jar 1 has 8 litres

8/16 = 1/2 - Answer is C.

Thanks

[StaceyKoprince]

Yep - the one that is 1/4 full is NOT the smaller jar. It's the larger jar because the same amount of water fills a smaller fraction of the jar. Try it at home to visualize!