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# ) Food Number of Calories per Kiologram Number of Gram of

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Manager
Joined: 11 Jan 2006
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Location: Arkansas, US
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) Food Number of Calories per Kiologram Number of Gram of [#permalink]

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03 Oct 2006, 05:24
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20.) Food Number of
Calories per
Kiologram Number of Gram
of Protein per
Kilogram
S 2,000 150
T 1,500 90

The table above gives the number of calories and grams of protein per kilogram of foods S and T. If a total of 7 kilograms of S and T are combined to make a certain food mixture, how many kilograms of food S are in the mixture?
(1) The mixture has a total of 12,000 calories.
(2) The mixture has a total of 810 grams of protein.

Plss explain
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ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

Intern
Joined: 14 Jul 2005
Posts: 44
Location: California
Followers: 1

Kudos [?]: 7 [0], given: 0

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04 Oct 2006, 13:23
Each ststement by itself is sufficient.

We know that S + T = 7
From Statement 1: (1) The mixture has a total of 12,000 calories.
if the whole mixture was made of S the there would be 14000 calories(7x2000) but the mixture has 12000 Calories
If we substitute 1 S with 1 T then the the calorie count would be down by(2000-1500) = 500. So to get the Calorie count down by 2000 we need to substitute 4 S with 4 T.
So In the mixture we have 3 S and 4 T= (3x2000)+(4x1500) =6000 + 6000 = 12000

We can get the values exactly the same way from statement 2.
Director
Joined: 23 Jun 2005
Posts: 841
GMAT 1: 740 Q48 V42
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04 Oct 2006, 16:38
D
Statement 1:

2000X+1500Y = 12000

X+Y= 7 or X=7-Y

Substituting for X and simplifying,

500Y = 2000
Y = 4Kg.
Sufficient.

Statement 2 is sufficient, going by the above model.
Senior Manager
Joined: 28 Aug 2006
Posts: 304
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Kudos [?]: 153 [0], given: 0

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05 Oct 2006, 00:30
It is D.

Statement 1:

Let S be P kg
Clearly T must be 7-P kg

2000xP + (7-P) 1500 = 12,000
Solving this we get P=3
So S must be 3 and T must be 4

Statement 2:

150xP+(7-P)90 = 810

Solving this we get P=3

So it is D
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Last edited by cicerone on 25 Sep 2008, 01:31, edited 1 time in total.
Manager
Joined: 11 Jan 2006
Posts: 230
Location: Arkansas, US
WE 1: 2.5 yrs in manufacturing
Followers: 1

Kudos [?]: 17 [0], given: 18

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05 Oct 2006, 20:52
Thanks for the explanation guys...
I've undestud the concept, thanks to u all..
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ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

05 Oct 2006, 20:52
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