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A bowl was half full of water. 4 cups of water were then added to the
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07 Jul 2011, 22:00
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A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?
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Re: A bowl was half full of water. 4 cups of water were then added to the
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07 Jul 2011, 22:18
enigma123 wrote: A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?
Ans: 14
Can someone on this forum please explain me the concept behind this question i.e. how to approach these questions? I would like to solve this using the variable i.e. x or something, if you know what I mean. Your help is very much appreciated. Since you asked for a solution with a variable, Say cup's capacity = x Bowl's capacity = B Bowl is half full i.e. 50%B is full 50/100 * B + 4x = 70/100 * B B = 20x So Bowl's capacity is of 20 cups. If it is 70% full, it has 70/100 * 20 = 14 cups in it. Otherwise, just think  Bowl is 50% full. It became 70% full i.e. an increase of 20% by adding 4 cups. So each cup adds 5%. 70% full will have 70/5 = 14 cups.
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Re: A bowl was half full of water. 4 cups of water were then added to the
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07 Jul 2011, 22:50
Hi Karishma  Many thanks for a wonderful reply. I understand the 2nd solution. But have a minor doubt in the first solution with variable which I have highlighted: cup's capacity = x Bowl's capacity = B Bowl is half full i.e. 50%B is full 50/100 * B + 4x = 70/100 * B B = 20x > How did you get this?So Bowl's capacity is of 20 cups. If it is 70% full, it has 70/100 * 20 = 14 cups in it. Apologies if I sound thick and annoying, but your help will be very much appreciated as always.
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Re: A bowl was half full of water. 4 cups of water were then added to the
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08 Jul 2011, 00:39
enigma123 wrote: Hi Karishma  Many thanks for a wonderful reply. I understand the 2nd solution. But have a minor doubt in the first solution with variable which I have highlighted:
cup's capacity = x Bowl's capacity = B Bowl is half full i.e. 50%B is full 50/100 * B + 4x = 70/100 * B B = 20x > How did you get this? So Bowl's capacity is of 20 cups. If it is 70% full, it has 70/100 * 20 = 14 cups in it.
Apologies if I sound thick and annoying, but your help will be very much appreciated as always. Np Here it goes 50/100*B+ 4X = 70/100*B 4x = 70/100*B  50/100*B 4x = 20/100*B 4x*100 = 20*B 400X= 20*B B = 400/20 *x B = 20X hope this helps



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Re: A bowl was half full of water. 4 cups of water were then added to the
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08 Jul 2011, 01:02
Thanks Karishma & Sudhir18n. Really appreciate.
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Re: A bowl was half full of water. 4 cups of water were then added to the
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09 Sep 2011, 13:18
Guess I'm kinda late here, but I'll contribute my 2 cents anyway since I'm this happy with my solution! The question right away reveals that 20% = 4 cups. Hence 1 cup = 5%. Therefore, if it was already 50% full, there were 10 cups of water. Add the 4 cups we just added, that makes it 14.
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Re: A bowl was half full of water. 4 cups of water were then added to the
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09 Sep 2011, 16:31
lets say total volume of the container = V
Initial water content is half of total volume = V/2
Then 4 cups of water were added.
Current water content = (V/2) + 4 cups = (70/100)V
=> V = 20 cups
=> current water content is equivalent to = V/2+ 4 cups = 20/2 + 4 = 14 cups



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Re: A bowl was half full of water. 4 cups of water were then added to the
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09 Sep 2011, 17:37
try to translate words. first let denote the capacity as X, so let's start .5X+4=.7x now combine like terms 4=.7x.5x .2x=4 x=4/.2 multiply each number by 10 to make it easier for you to divide so , we get x=40/2 20=x now, we know that the full capacity is 20 cups and after adding the 4 cups, the bowl is 70% full so 70% of 20 = 14 hope that helps dont hesitate if u need any further explination
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Re: A bowl was half full of water. 4 cups of water were then added to the
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09 Sep 2011, 19:07
4 cup = 20% hence, 5% = 1 cup i.e. 50% = 10 cup. Total cup = 10 + 4 = 14 cup
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Re: A bowl was half full of water. 4 cups of water were then added to the
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10 Sep 2011, 12:52
20% = 4 cups So 70% = 4/20 * 70 = 14 cups.
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Re: A bowl was half full of water. 4 cups of water were then added to the
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11 Jan 2015, 04:52
Previously it was half meaning 50% and after it was 70%
so the increase by 4 cup is 20%
Now,
20% cup means 4 cup
so 1 % mean 4/20
70% mean (4*70)/20 = 14



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Re: A bowl was half full of water. 4 cups of water were then added to the
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14 Oct 2016, 03:13
This question appears to be numerical entry type question of GRE.If i am not mistaken GMAT doesn't have such type of questions.So apologies but shouldn't this be on greclub website



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Re: A bowl was half full of water. 4 cups of water were then added to the
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07 Jul 2017, 11:24
petrifiedbutstanding wrote: Guess I'm kinda late here, but I'll contribute my 2 cents anyway since I'm this happy with my solution!
The question right away reveals that 20% = 4 cups. Hence 1 cup = 5%.
Therefore, if it was already 50% full, there were 10 cups of water.
Add the 4 cups we just added, that makes it 14. I just got the "duh" moment reading your simpler solution. Thanks, Petrified.




Re: A bowl was half full of water. 4 cups of water were then added to the
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07 Jul 2017, 11:24






