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A certain diet program calls for eating daily calories from

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A certain diet program calls for eating daily calories from [#permalink] New post 15 Jan 2012, 18:01
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A certain diet program calls for eating daily calories from carbohydrates, proteins, and fats in the ratio of 40:30:30 respectively. On a certain day, did Bill follow this diet program? (1 gram of fat contains 9 calories, 1 gram of protein contains 4 calories, and 1 gram of carbohydrates contains 4 calories)

(1) One of the meals Bill ate contained 80 grams of carbohydrates, 60 grams of protein, and 60 grams of fat.
(2) Bill ate 1500 calories during the day.
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Re: calories [#permalink] New post 15 Jan 2012, 18:26
Expert's post
A certain diet program calls for eating daily calories from carbohydrates, proteins, and fats in the ratio of 40:30:30 respectively. On a certain day, did Bill follow this diet program? (1 gram of fat contains 9 calories, 1 gram of protein contains 4 calories, and 1 gram of carbohydrates contains 4 calories)

(1) One of the meals Bill ate contained 80 grams of carbohydrates, 60 grams of protein, and 60 grams of fat --> we have info only about one meal Bill ate. Not sufficient.
Though from this statement we can find out how much calories did Bill get from this meal:
80 grams of carbohydrates = 4*80 = 320 calories;
60 grams of protein = 4*60 = 240 calories;
60 grams of fat= 9*60 = 540 calories.

(2) Bill ate 1500 calories during the day --> no info about the ratio. Not sufficient.

(1)+(2) To follow his diet Bill should have had 30%*1,500=450 calories from fat but (1) tells that Bill already exceeded this limit in one particular meal, so clearly he did not follow his diet program. Sufficient.

Answer: C
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Ratio Problem [#permalink] New post 11 Nov 2012, 08:53
A certain diet program calls for eating daily calories from
carbohydrates, proteins, and fats in the ratio of 40:30:30
respectively. On a certain day, did Bill follow this diet
program? (1 gram of fat contains 9 calories, 1 gram of
protein contains 4 calories, and 1 gram of carbohydrates
contains 4 calories)

1) One of the meals Bill ate contained 80 grams of
carbohydrates, 60 grams of protein, and 60 grams of fat.
2) Bill ate 1500 calories during the day.
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Re: Ratio Problem [#permalink] New post 11 Nov 2012, 08:58
I think that the answer should be 'A' (instead of 'C') because total calories consumed are immaterial when calculating the ratio.
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Last edited by ratan19 on 11 Nov 2012, 09:18, edited 1 time in total.
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Re: Ratio Problem [#permalink] New post 11 Nov 2012, 09:14
In my humble opinion the answer is A.

B is not sufficient alone becuase even if we know what is the total number of calories we don't know anything about the characteristics of carbo, protein and fat.

If we follow A then we can answer with certainty that he didn't follow his diet. We've enough data to say it with just 1st sentece.
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Re: Ratio Problem [#permalink] New post 12 Nov 2012, 01:51
Expert's post
ratan19 wrote:
A certain diet program calls for eating daily calories from
carbohydrates, proteins, and fats in the ratio of 40:30:30
respectively. On a certain day, did Bill follow this diet
program? (1 gram of fat contains 9 calories, 1 gram of
protein contains 4 calories, and 1 gram of carbohydrates
contains 4 calories)

1) One of the meals Bill ate contained 80 grams of
carbohydrates, 60 grams of protein, and 60 grams of fat.
2) Bill ate 1500 calories during the day.


Merging similar topics. Please refer to the solution above.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Ratio Problem [#permalink] New post 14 Nov 2012, 20:30
ratan19 wrote:
I think that the answer should be 'A' (instead of 'C') because total calories consumed are immaterial when calculating the ratio.

is a question ambiguous? The question is asking if the guy fits the ratio. (1) Says to us that he definitely does. I don't see any restrictions strictly showing how many calories should be derived. Thus I also considered calories info irrelevant.

Bunuel, please help
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Re: Ratio Problem [#permalink] New post 15 Dec 2013, 18:53
fukirua wrote:
ratan19 wrote:
I think that the answer should be 'A' (instead of 'C') because total calories consumed are immaterial when calculating the ratio.

is a question ambiguous? The question is asking if the guy fits the ratio. (1) Says to us that he definitely does. I don't see any restrictions strictly showing how many calories should be derived. Thus I also considered calories info irrelevant.

Bunuel, please help


To reiterate what Bunuel mentioned in his original solution, the key is that statement 1 only gives us information on what he ate for 1 meal that day. True, that meal followed the ratio, but statement 1 is not sufficient because the original question is asking whether the person followed the ratio THAT DAY, not just for 1 meal. We do not have information on what that person ate for other meals of the day.

Statement 2 is not sufficient either because we don't know the breakdown of the 1500 calories and cannot check the ratio.

However, when we combine both statements, they basically tells us that the person only ate 1 meal that day - the meal mentioned in statement 1. This is why C is the answer (1+2 are sufficient).

Hope this helps.
Re: Ratio Problem   [#permalink] 15 Dec 2013, 18:53
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