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S has 2,000 calories per kilogram, and 150 grams of protien [#permalink]

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21 Feb 2007, 14:26

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A

B

C

D

E

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(N/A)

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S has 2,000 calories per kilogram, and 150 grams of protien per kilogram.

T has 1,500 calories per kilogram, and 90 grams of protein per kilogram.

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.

the answer says D, either is sufficient, however I say C. it seems you have 2 unknowns and 2 equations.

I know it cant be D because simply using (1), we know that you could have either 6 grams of S and 0 grams of T, or 8 grams of T and 0 grams of S. Both of these situations would add up to 12,000 calories, so therefore it cannot be D, right?