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 By: tictactoe (offline)  Friday, August 03 2012 @ 07:21 AM CDT (Read 664 times)
tictactoe

Hello , I need help with this question.
The capacity of a jug is twice that of a bottle . The jug is 25% filled with water . If the bottle is empty at first, and all the water is then poured from the jug into the bottle, what percentage of the bottle will be filled with water?

The answer key is : 50%.

Thanks
-tictactoe

Newbie

Registered: 07/28/12
Posts: 8

 By: echeewh (offline)  Friday, August 03 2012 @ 07:06 PM CDT
echeewh

Hi there,

Following pls find the worked solution and explanation:

25% = (1/4)
This volume of water is poured into bottle (B ).

Jug(J) : B
2 : 1

Since capacity of J is 2x that of J, we have ...

Vol of water in B = (1/4) x 2= (1/2) = 50%

Alternatively, can also use <Model> method as shown:

** - buffer space for alignment purpose

**<-------- 2p ------------>
J |-------------|-------------|
B |-------------|
**<--- 1p --->

Given that (1/4) of J is filled with water, we have 2p of J divided into 4 equal units (u). Likewise, the 1p of B is also divided into 2u.

**<W->
J |------|------|------|------|
B |------|------|

Since that 1u of W from J is poured into B, it would fill up the same 1u in B. From the model in B, fraction of B filled up with W is (1/2) = 50%.

====================

Trust this helps.

Do let me know again should there be any clarification.

Cheers,
Edward.

Active Member

Registered: 04/21/11
Posts: 627

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