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In a serving of a breakfast cereal that contains only oats, raisins

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Bunuel
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In a serving of a breakfast cereal that contains only oats, raisins [#permalink] New post  22 Dec 2014, 09:24
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In a serving of a breakfast cereal that contains only oats, raisins, and nuts, the ratio of oats to raisins to nuts by weight is 3 to 2 to 1, respectively. How many ounces of raisins are in the serving ?

(1) The serving weighs 4 ounces.
(2) The serving contains 2 ounces of oats.
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beattheheat
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Re: In a serving of a breakfast cereal that contains only oats, raisins [#permalink] New post  22 Dec 2014, 09:58
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Solution: O:R:N = 3:2:1, Determine R?

Statement 1: The serving weighs 4 ounces
R= 4 * (Ratio of R / Total) = 4 * (2/6) -- Sufficient

Statement 2: The serving contains 2 ounces of oats
R= 2 * (Ratio of R/O) = 2 * (2/3) -- Sufficient

Each Statement alone is sufficient, Answer D
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Re: In a serving of a breakfast cereal that contains only oats, raisins [#permalink] New post  22 Dec 2014, 21:02
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from question we know that O:R:N::3:2:1. From Concepts of Ratios a person needs to be aware that we we only need one actual value of one of the 3 unknowns viz O,R,N or the total weight to calculate all the values.

S(1): Gives us total weight. Hence we can calculate weight of raisins. Hence Suff

S(2): Gives us weight of one ingredient based on which we can derive all other weights. Hence Suff.

THus answer is D.
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syamen
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Re: In a serving of a breakfast cereal that contains only oats, raisins [#permalink] New post  23 Dec 2014, 06:41
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Bunuel wrote:

Tough and Tricky questions: Word Problems.



In a serving of a breakfast cereal that contains only oats, raisins, and nuts, the ratio of oats to raisins to nuts by weight is 3 to 2 to 1, respectively. How many ounces of raisins are in the serving ?

(1) The serving weighs 4 ounces.
(2) The serving contains 2 ounces of oats.

Kudos for a correct solution.


St1 : Raisins portion = (1/6)*(4) = 2/3. Sufficient
St2 : 2 ounces of oat --> Raisins = (1/3)*(2) ounces ( ratio - 3:2:1 given). Sufficient

Ans - D
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Re: In a serving of a breakfast cereal that contains only oats, raisins [#permalink] New post  23 Dec 2014, 09:42
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Bunuel wrote:

Tough and Tricky questions: Word Problems.



In a serving of a breakfast cereal that contains only oats, raisins, and nuts, the ratio of oats to raisins to nuts by weight is 3 to 2 to 1, respectively. How many ounces of raisins are in the serving ?

(1) The serving weighs 4 ounces.
(2) The serving contains 2 ounces of oats.

Kudos for a correct solution.



O: R: N = 3:2:1

Statement1: Sufficient; We know the total weight of the serving and the ratio of ingredients from that We can find the value of R
Statement2: Sufficient; O=2 also R=2/3 O from this we can find the value of R

D
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Re: In a serving of a breakfast cereal that contains only oats, raisins [#permalink]
23 Dec 2014, 09:42
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