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A mixture is composed of ingredients A, B, C, and D. How much more (in

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A mixture is composed of ingredients A, B, C, and D. How much more (in  [#permalink]

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New post 12 Apr 2018, 21:35
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A
B
C
D
E

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A mixture is composed of ingredients A, B, C, and D. How much more (in grams) of ingredient A than ingredient D is in the mixture?

(1) The ingredients A, B, C, and D are in the ratio 10:5:4:2, respectively.
(2) The amount (in grams) of ingredient B is 4 more than that of ingredient C.

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Re: A mixture is composed of ingredients A, B, C, and D. How much more (in  [#permalink]

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New post 12 Apr 2018, 22:10
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Bunuel wrote:
A mixture is composed of ingredients A, B, C, and D. How much more (in grams) of ingredient A than ingredient D is in the mixture?

(1) The ingredients A, B, C, and D are in the ratio 10:5:4:2, respectively.
(2) The amount (in grams) of ingredient B is 4 more than that of ingredient C.


Question : Quantity of A - Quantity of D = ?

Statement 1: The ingredients A, B, C, and D are in the ratio 10:5:4:2, respectively.

This statement gives the comparison of quantities in ratio but no exact amount of quantity of any ingredient is known therefore

NOT SUFFICIENT

Statement 2: The amount (in grams) of ingredient B is 4 more than that of ingredient C

The comparison of quantities of A and D are unknown hence

NOT SUFFICIENT

COmbining the two statements

The ratio of A, B, C and D = 10:5:4:2

i.e. A = 10x
B = 5x
C = 4x
D = 2x

and B - C = 4 = 5x - 4x
i.e. x = 4

Now all quantities are available hence

SUFFICIENT

Answer: option C
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Re: A mixture is composed of ingredients A, B, C, and D. How much more (in  [#permalink]

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New post 26 Apr 2018, 21:07
I) it gives ratio 10x,5x,4x,2x
A-D=8x but we do not know value of x here
Not sufficient

II)it gives difference between b and c but does not provide any info about ratio in which all quantity are present

It sufficient

Combining both statements
We have ratio and value of x
Sufficient to answer

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Re: A mixture is composed of ingredients A, B, C, and D. How much more (in  [#permalink]

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New post 27 Apr 2018, 01:30
Bunuel wrote:
A mixture is composed of ingredients A, B, C, and D. How much more (in grams) of ingredient A than ingredient D is in the mixture?

(1) The ingredients A, B, C, and D are in the ratio 10:5:4:2, respectively.
(2) The amount (in grams) of ingredient B is 4 more than that of ingredient C.


Ans: C

Stat 1) gave us the ratio but we do not know anything about the relation between them in terms of exact gms. (Not sufficient)

State 2) gave us the relation between B and C but the still we can't find what is asked because relation between A and D is not given. (Not Suff)

Together we know the relation between B and C and ration between B and C from here we can find exact gms of B and C and thus Relation between A, B,C,D is given we can find both A and D too. this can ans the question.

from stat 2 (B=4+C) and from Stat 1 (B/C= 5/4) so B= (5/4)C hence C = 16, B= 20 from here A= 40 and D = 8 and A-D = 32 Ans.

Ans: C
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Re: A mixture is composed of ingredients A, B, C, and D. How much more (in &nbs [#permalink] 27 Apr 2018, 01:30
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