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# Which of the following diets would supply the most grams of protein?

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Math Expert
Joined: 02 Sep 2009
Posts: 49985
Which of the following diets would supply the most grams of protein?  [#permalink]

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29 Oct 2017, 01:25
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Difficulty:

5% (low)

Question Stats:

91% (01:25) correct 9% (01:05) wrong based on 48 sessions

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Which of the following diets would supply the most grams of protein?

(A) 500 grams of A
(B) 250 grams of B
(C) 350 grams of C
(D) 150 grams of A and 200 grams of B
(E) 200 grams of B and 200 grams of C

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Which of the following diets would supply the most grams of protein?  [#permalink]

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29 Oct 2017, 10:55
Bunuel wrote:

Which of the following diets would supply the most grams of protein?

(A) 500 grams of A
(B) 250 grams of B
(C) 350 grams of C
(D) 150 grams of A and 200 grams of B
(E) 200 grams of B and 200 grams of C

The most grams of protein will come from the highest percentage(s) of the highest absolute amount(s).

Based on amounts and percentages, at a glance, the answer should be (E)

Closest is C. But 20 percent of 350 (C), is less than 20 percent of 400 (E).

The answer is E. I decided to check the others.

Multiplying percentages by amounts is quick, under a minute.

Diet A = (.10) protein
Diet B = (.20) protein
Diet C = (.20) protein

Options by answer, in grams of protein:

(.10)(500) = 50

(.20)(250) = 50
--10% is [25], doubled = 20% = 50

(.20)(350) = 70
--10% is [35], doubled = 20% = 70

(.10)(150) + (.20)(200) =
(15 + 40) = 65
(Answer D, 150g of A + 200g of B)

(.20)(200) + (.20)(200) =
(40 + 40) = 80
(Answer E, 200g of B + 200g of C)

80 grams of protein is the most

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Which of the following diets would supply the most grams of protein? &nbs [#permalink] 29 Oct 2017, 10:55
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