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# Compound P contains just three chemicals — X, Y, and Z. The three chem

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Math Expert
Joined: 02 Sep 2009
Posts: 54401
Compound P contains just three chemicals — X, Y, and Z. The three chem  [#permalink]

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16 Feb 2016, 00:55
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Difficulty:

25% (medium)

Question Stats:

79% (01:46) correct 21% (01:52) wrong based on 332 sessions

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Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?

(1) The weight of Compound P is always three times the weight of Z.
(2) The weight of Z is always twice the weight of X.

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Re: Compound P contains just three chemicals — X, Y, and Z. The three chem  [#permalink]

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18 Feb 2016, 00:39
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x:y:z = 5:15:z
If 25 grams of X and a proportional amount of Y are added to the compound , then weight of chemical Z is Z and Z=5z
25:75:Z

(1) The weight of Compound P is always three times the weight of Z.
Total weight of the compound P = 25+75+Z = 100+Z
(100+Z) = 3Z
=> 2Z = 100
=>Z = 50
Sufficient

(2) The weight of Z is always twice the weight of X.
=>Z = 2*25 = 50
Sufficient

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Re: Compound P contains just three chemicals — X, Y, and Z. The three chem  [#permalink]

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14 Aug 2017, 16:49
Bunuel wrote:
Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?

(1) The weight of Compound P is always three times the weight of Z.
(2) The weight of Z is always twice the weight of X.

the qn mentioned a proportional amount of Y was added. but it did not mention if the proportion is the the existing proportion in the compound or a new proportion. Thats why i selected B and i guess so did some other people.
i think the qn should have mentioned y was added according to the existing proportion.
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Compound P contains just three chemicals — X, Y, and Z. The three chem  [#permalink]

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20 Aug 2017, 06:15
Bunuel wrote:
Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?

(1) The weight of Compound P is always three times the weight of Z.
(2) The weight of Z is always twice the weight of X.

P has 2 components : X, Y and Z
X:Y:Z=5:15:z

Since X is 25 gms then in the ration multiplicity factor is 5.
Hence Y will be 15*5=125 gms
And Z will be z*5=5z

25+125+5z = Total weight

(1) 25+125+5z=3z
Sufficient

(2) z=2*X=2*25
Sufficient

Ans: D
Compound P contains just three chemicals — X, Y, and Z. The three chem   [#permalink] 20 Aug 2017, 06:15
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