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A diet Program

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A diet Program

by Maratha1 » Wed Jan 28, 2009 3:59 pm
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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient
carpe diem!
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by truplayer256 » Wed Jan 28, 2009 4:30 pm
Is the OA D? For statement 1) 60(4)+60(9)+80(4)=1100 calories. Since the ratio of calories from protein, carbs, and fats is 40:30:30.. we can assume that the total # of calories must be a multiple of 100. 1100 is a multiple of 100, so this statement works..
For statement 2) 1500 is a multiple of 100, so this statement works too, but both statement 1 and statement 2 don't go together.
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by dmateer25 » Wed Jan 28, 2009 4:39 pm
I don't know about this but here is my take:

a) so we know that he ate:
Protein: 60x4=240
Carbs: 80x4=320
Fat: 60x9=540

So the meal had 1100 calories. But we aren't sure how many total calories Bill ate in a day.

Insuff

b) This doesn't tell us whether he followed the diet or not.

Insuff

Together:
We know the total calories now are 1500.
Using the ratio, Bill should eat should eat:

carbohydrates: 600
proteins: 450
fats: 450

Well we know from statement 1 that he ate 540 calories of fat. Therefore, he couldn't have followed the diet.

I will go with C
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by Maratha1 » Wed Jan 28, 2009 6:43 pm
OA is C. Well done dmateer25.

In first choice I missed to read "One of the meals". If the first choice was all of the meals instead of one of the meals then answer would have been A.

Thank you everyone, and here is the explanation from Delta Course. For those who havent already subscribed, you can subscribe to the free daily quants question on the delta course website.

Looking at statement 1: We don't know how many calories Bill ate during the day. Thus, we can't determine from one meal whether or not he ate the proper ratios. We can eliminate A and D.

Looking at statement 2: We can't determine from total calories the percentages for carbohydrates, protein, and fat. We can eliminate B.

Looking at statements 1 and 2 together: If Bill ate 1500 calories in a day, (1500 * .4) or 600 of his daily calories should be from carbohydrates, (1500 * .3) or 450 of his daily calories should be from protein, and (1500 * .3) or 450 of his daily calories should be from fat. If Bill ate a meal with 55 grams of fat, he ate (60 grams * 9
calories/gram) or 540 calories of fat. Bill exceeded 450 calories from fat and did not follow the diet. Thus, BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

The answer to yesterday's Delta Course e-mail is C.
carpe diem!
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