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Which one of the following diets or the combination of diets supplies

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Bunuel
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Which one of the following diets or the combination of diets supplies [#permalink] New post   17 Apr 2019, 21:30
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60% (02:13) correct 40% (02:18) wrong based on 133 sessions
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Which one of the following diets or the combination of diets supplies more protein for every dollar?

(A) Food A
(B) Food B
(C) Food C
(D) 60% food B and 40% food C
(E) 60% food A and 40% food C

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B
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eswarchethu135
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Re: Which one of the following diets or the combination of diets supplies [#permalink] New post   21 Apr 2019, 21:18
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From the above table clearly, only for food B, the protein content per dollar is more compared to that of any other foods or combinations.

OPTION: B
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Re: Which one of the following diets or the combination of diets supplies [#permalink] New post   15 Jul 2019, 11:40
eswarchethu135 wrote:
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2019-04-22_09-42-03.jpg


From the above table clearly, only for food B, the protein content per dollar is more compared to that of any other foods or combinations.

OPTION: B



Hi eswarchethu135,

Can you please elaborate , where I am going wrong? Lets take Food B:
10 gms of food for $3 so per dollar 3.33 gms. of food
Now 20% of this is protein hence \(\frac{20}{100}\)*3.33=.67
Well as you have got 2.22 , can you please tell me where I am going wrong , thank you.
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Re: Which one of the following diets or the combination of diets supplies [#permalink] New post   16 Jul 2019, 04:17
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Bunuel wrote:

Which one of the following diets or the combination of diets supplies more protein for every dollar?

(A) Food A
(B) Food B
(C) Food C
(D) 60% food B and 40% food C
(E) 60% food A and 40% food C

Show Spoiler
Attachment:
2019-04-18_0829.png


Let me bring some common numbers to solve this problem :

We know the "numbers" in "cost column" are all prime, so take LCM of costs - $2, $3, $7 have LCM = $ 42

So, In $42 amount, I can buy,

Food A = 10/2*42 = 210 gms

Food B = 10/3*42 = 140 gms

Food C = 10/7*42 = 60 gms

Now,

A. Food A contains 10% protein = 0.1*210 = 21 gms of protein

B. Food B contains 20% protein = 0.2*140 = 28 gms of protein

C. Food C contains 30% protein = 0.3*60 = 18 gms of protein

D. 60% of food B & 40% of food C contains = 0.6*140*0.2 + 0.4*60*0.3 = 16.8 + 7.2 = 24 gms

E. 60% of food A & 40% of food C contains = 0.6*210*0.1 + 0.4*60*0.3 = 12.6 + 7.2 = 19.8 gms

Hence B
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Re: Which one of the following diets or the combination of diets supplies [#permalink] New post   20 Nov 2021, 07:53
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Re: Which one of the following diets or the combination of diets supplies [#permalink]
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