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 By: JessicaTan (offline)  Monday, August 06 2012 @ 02:46 AM CDT (Read 878 times)
JessicaTan

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.

Rdgs
Jessica

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Registered: 10/17/09
Posts: 82

 By: GIM (offline)  Wednesday, August 08 2012 @ 09:19 AM CDT
GIM

||||||||||<------10units(7/8 filled)------->|
A |---|---|---|---|---|---|---|---|-------C------|

||||||||||||||||||<-----9units(2/3filled)----->|
B |---------|---------|----------|-------C------|

Where C is the mass of container
(10 + 9)units------> 570
1 units--------------> 570 / 19 = 30kg

Difference in fraction on the amount filled --> 7/8 - 2/3 = 21/24 -16/24 = 5/24
5/24 filled -----> 30kg
1/24 filled -----> 30/5 = 6kg

Total amount of oil ---> 21/24 +16/24 = 37/24
37/24 filled ---> 37 x 6 = 222kg

mass of 2 container ----> 570 - 222 = 348kg
mass of 1 container ----> 348 / 2 =174kg

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Registered: 11/07/10
Posts: 70

 By: JessicaTan (offline)  Wednesday, August 08 2012 @ 09:54 PM CDT
JessicaTan