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 By: JessicaTan (offline)  Sunday, August 05 2012 @ 04:56 AM CDT (Read 1006 times)
JessicaTan

Hi,
I cant solve this question, kindly help me to solve with working solution(ans : 174kg).

Container A and Container B have the same shape and mass. 7/8 of container A and 2/3 of container B are filled with oil. The mass of Container B with its contents is 9/10 the mass of Container A with its contents. The total mass of the two containers with their contents is 570kg. Find the mass of the empty container.

Thanks a lot.

Regular Member

Registered: 10/17/09
Posts: 82

 By: echeewh (offline)  Monday, August 06 2012 @ 04:46 PM CDT
echeewh

Hi Jessica,

Following pls find the worked solution:

A = 10u; B = 9u
Total (A+B ) = 19u --> 570
1u --> 30

A = 10u --> 10 x 30 = 300 kg
B = 9u --> 9 x 30 = 270 kg

A + (7/8) Oil = 300 kg -- (1)
B + (2/3) oil = 270 kg -- (2)

Given that A,B are identical, we have ...

(1)-(2):
(7/8) oil - (2/3) oil = 300 - 270 = 30
(5/24) oil = 30
(24/24) oil = 30 x (24/5) = 144

(2/3) oil = (2/3) x 144 = 96 kg

Substitute this in (2):
B + 96 = 270
B = 270 - 96
= 174 kg

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

Trust this helps.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: JessicaTan (offline)  Tuesday, August 07 2012 @ 12:46 AM CDT
JessicaTan

Thanks Edward

Regular Member

Registered: 10/17/09
Posts: 82

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