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The table above gives the number of calories and grams of [#permalink]
01 Apr 2012, 04:26

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D

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Difficulty:

25% (low)

Question Stats:

75% (02:12) correct
25% (01:30) wrong based on 193 sessions

Food -- Number of Calories per Kilogram -- Number of Grams 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.

Re: The table above gives the number of calories and grams of [#permalink]
01 Apr 2012, 07:15

1

This post received KUDOS

Expert's post

Food -- Number of Calories per Kilogram -- Number of Grams 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 --> say x kilograms of food S are in the mixture then there will be 7-x kilograms of food T in the mixture. Now, according to the table above we'll have: 2,000x+1,500(7-x)=12,000, since there is only one variable then we can solve for it. Sufficient.

(2) The mixture has a total of 810 grams of protein --> 150x+90(7-x)=810, since there is only one variable then we can solve for it. Sufficient.

Re: The table above gives the number of calories and grams of [#permalink]
25 Jul 2012, 20:34

Expert's post

boomtangboy wrote:

Food -- Number of Calories per Kilogram -- Number of Grams 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.

Responding to a pm:

S -> 2000 C/kg and 150 P/kg T -> 1500 C/kg and 90 P/kg

The mixture of the two is 7 kg.

Statement 1: Mixture has 12000 C i.e. 12000/7 C/kg

The average calorie content of the mixture is 12000/7.

wT/wS = (AS - Aavg)/(Aavg - AT) (this formula represents the scale. You can either use the number line or this formula)

wT/wS = (2000 - 12000/7)/(12000/7 - 1500) = 2000/1500 = 4/3 So, in 7 kg, T was 4 kg and S was 3 kg

You don't really need to solve it. From the data you see that you have calorie content of each food and the average calorie content, so you can easily find the ratio of each food in the mixture. You also have the amount of mixture so you can easily find the amount of each food in the mixture.

Statement 2: Mixture has 810 gms of P i.e. 810/7 P/kg

Food Number of Calories per Kilogram Number of Grams 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.

Re: Data Sufficiency [#permalink]
05 Dec 2013, 09:19

Expert's post

Vidhi1 wrote:

Food Number of Calories per Kilogram Number of Grams 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.

Merging similar topics. Please refer to the solutions above.

Re: The table above gives the number of calories and grams of [#permalink]
16 Dec 2013, 10:50

boomtangboy wrote:

Food -- Number of Calories per Kilogram -- Number of Grams 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.

Takes longer to write the problem than to solve

Answer is D

Cheers J

gmatclubot

Re: The table above gives the number of calories and grams of
[#permalink]
16 Dec 2013, 10:50