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A bowl is half full of water. Four cups of water are then added to the

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enigma123
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A bowl is half full of water. Four cups of water are then added to the [#permalink] New post   07 Jul 2011, 22:00
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A bowl is half full of water. Four cups of water are then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?

A. 10
B. 12
C. 14
D. 16
E. 18


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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?

14
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C
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Re: A bowl is half full of water. Four cups of water are then added to the [#permalink] New post   07 Jul 2011, 22:18
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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 is half full of water. Four cups of water are then added to the [#permalink] New post   09 Sep 2011, 13:18
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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 is half full of water. Four cups of water are then added to the [#permalink] New post   06 Mar 2020, 05:25
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Bunuel wrote:
A bowl is half full of water. Four cups of water are then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?

A. 10
B. 12
C. 14
D. 16
E. 18


(1/2)*B + 4 = (70/100)*B

i.e. (20/100)*B = 4 cups

i.e. B = 20 cups

Water in bowl = 70% of B = 14 cups

Answer: Option C
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Re: A bowl is half full of water. Four cups of water are then added to the [#permalink] New post   22 Jan 2022, 01:32
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Re: A bowl is half full of water. Four cups of water are then added to the [#permalink]
22 Jan 2022, 01:32
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