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# All of the following diets would supply at least 75 grams of fat. Whic

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Math Expert
Joined: 02 Sep 2009
Posts: 52285
All of the following diets would supply at least 75 grams of fat. Whic  [#permalink]

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29 Oct 2017, 00:25
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Difficulty:

65% (hard)

Question Stats:

53% (02:14) correct 47% (02:09) wrong based on 95 sessions

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All of the following diets would supply at least 75 grams of fat. Which of the diets costs the least?

(A) 200 grams of A, 150 grams of B
(B) 500 grams of B, 100 grams of A
(C) 200 grams of C
(D) 150 grams of A, 100 grams of C
(E) 300 grams of A

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Re: All of the following diets would supply at least 75 grams of fat. Whic  [#permalink]

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29 Oct 2017, 00:35
IMO Option E
The cost of 300 grams of A is Rs 5.40 which is the least among the five choices.
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All of the following diets would supply at least 75 grams of fat. Whic  [#permalink]

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03 Dec 2017, 20:47
Bunuel wrote:

All of the following diets would supply at least 75 grams of fat. Which of the diets costs the least?

(A) 200 grams of A, 150 grams of B
(B) 500 grams of B, 100 grams of A
(C) 200 grams of C
(D) 150 grams of A, 100 grams of C
(E) 300 grams of A

Good question.

Looking at cost per gram of fat, we have
Food A: 1.80/30 = .06 per gram
Food B: 3.00/10 = .30 per gram
Food C: 2.75/40 $$\approx{.07}$$ per gram

Dump ANY choice with Food B.

You could buy five grams of A for ONE gram of B, and 4+ grams of C for one gram of B.

The other three were too close to call in my head, but the numbers are easy.

(C) 200 grams of Food C
If 100g = 2.75, 200g will be double that: $5.50 (D) 150 grams of A, 100 grams of C A: 1.5($1.80) = $2.70 C: 2.75 Total:$5.45

(E) 300 grams of A
3($1.80) =$5.40

**I did not calculate A or B while on the timer, but
(A) 200 grams of A, 150 grams of B:
2($1.80) + 1.5(3.00) =$3.60 + 4.50 = $8.10 (B) 500 grams of B, 100 grams of A 5($3.00) + $1.80 =$16.80

No contest.

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All of the following diets would supply at least 75 grams of fat. Whic &nbs [#permalink] 03 Dec 2017, 20:47
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