marcia's bucket

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saege: Senior | Next Rank: 100 Posts; Posts: 58; Joined: Fri Feb 08, 2008 12:18 am; Thanked: 1 times

marcia's bucket

by saege » Mon Jul 28, 2008 9:53 am

Can't really understand the explaination for some reason
marcia's bucket can hold a max. of how manylitres of water?
a: bucket currently has 9 litres of water
b: if 3 litres of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3

This is from OG pg 290 Q 155 . Can't Understand the OG explanation. Help Reqd. Tks in advance.

Quote

Source: Beat The GMAT — Data Sufficiency | Mon Jul 28, 2008 9:53 am

ricky: Master | Next Rank: 500 Posts; Posts: 118; Joined: Sun Jun 01, 2008 1:47 pm; Thanked: 5 times; Followed by:1 members

by ricky » Mon Jul 28, 2008 10:15 am

Let x be the full capacity of the bucket.
Acc. to the ques if 3 ltrs is added to the bucket when it is half full(x/2), then the water increses by 1/3.

So thios means that 1/3 of the current volume of water is equal to 3 ltrs

=> (1/3)*(x/2) = 3
=> x = 18 ltrs.

Hence (ii) is sufficient.