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A certain cleaning product is composed of water, soap, and fragrance.

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A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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A certain cleaning product is composed of water, soap, and fragrance. If the ratio of water to soap is 2:1 and the ratio of soap to fragrance is three times greater, what is the ratio of water to fragrance after half of the water evaporates?

A. 1:12
B. 1:6
C. 2:1
D. 3:1
E. 6:1

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A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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New post 09 Mar 2017, 04:33
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Water : soap = 2:1 or 6:3
Soap: fragrance = 3:1
Therefore water : soap: fragrance = 6:3:1
Hence water: fragrance = 6:1

Option E
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Re: A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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New post 09 Mar 2017, 14:27
ByjusGMATapp wrote:
Water : soap = 2:1 or 6:3
Soap: fragrance = 3:1
Therefore water : soap: fragrance = 6:3:1
Hence water: fragrance = 6:1

Option E


But half the water evaporates. Wouldn't that alter the ratios?
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A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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water to soap
2:1 multiply by 6 => 12:6

soap to fragrance
6:1

water to fragrance = 12: 1. Therefore, if half of the water evaporates the water to fragrance ratio is 6:1.

Answer is E.
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Re: A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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New post 11 Mar 2017, 10:05
questions is w:f if 1/2 w evaporates
w:s:f
We know: w:s = 2:1, and s:f is 3 times higher, so:
12:6:1

so until w evaporates answer is 12:1
As it evaporates it gets to 6:1, answer E
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Re: A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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W/S = 2/1
S/F = 6/1

So W/F = 12/1
after 1/2 evaporation = (12/1) *(1/2) = 6/1

Answer E
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Re: A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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Bunuel wrote:
A certain cleaning product is composed of water, soap, and fragrance. If the ratio of water to soap is 2:1 and the ratio of soap to fragrance is three times greater, what is the ratio of water to fragrance after half of the water evaporates?

A. 1:12
B. 1:6
C. 2:1
D. 3:1
E. 6:1


We are given that the the ratio of water to soap is 2 : 1, and since the ratio of soap to fragrance is 3 times greater, we have 6 : 1 as the ratio of soap to fragrance.

We can multiply the ratio of water to soap by 6 and we have: water to soap = 12 : 6

So we have:

water : soap : fragrance = 12 : 6 : 1

Since half of the water evaporates, we have:

water : soap : fragrance = 6 : 3 : 1, and thus the ratio of water to fragrance is 6 to 1.

Answer: E
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A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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Bunuel wrote:
A certain cleaning product is composed of water, soap, and fragrance. If the ratio of water to soap is 2:1 and the ratio of soap to fragrance is three times greater, what is the ratio of water to fragrance after half of the water evaporates?

A. 1:12
B. 1:6
C. 2:1
D. 3:1
E. 6:1


OFFICIAL SOLUTION



Let’s start by writing out the two ratios given: w:s = 2:1 and s:f = 6:1. To combine them, we need the common term (soap) to be equal, so multiply both parts of the first ratio by 6 to get w:s = 12:6, and a three-part ratio of w:s:f = 12:6:1. If half the water evaporates, our ratio becomes w:s:f = 6:6:1, giving us a final water to fragrance ratio of 6:1.
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Re: A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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New post 21 Mar 2017, 05:38
JeffTargetTestPrep wrote:
Bunuel wrote:
A certain cleaning product is composed of water, soap, and fragrance. If the ratio of water to soap is 2:1 and the ratio of soap to fragrance is three times greater, what is the ratio of water to fragrance after half of the water evaporates?

A. 1:12
B. 1:6
C. 2:1
D. 3:1
E. 6:1


We are given that the the ratio of water to soap is 2 : 1, and since the ratio of soap to fragrance is 3 times greater, we have 6 : 1 as the ratio of soap to fragrance.

We can multiply the ratio of water to soap by 6 and we have: water to soap = 12 : 6

So we have:

water : soap : fragrance = 12 : 6 : 1

Since half of the water evaporates, we have:

water : soap : fragrance = 6 : 3 : 1, and thus the ratio of water to fragrance is 6 to 1.

Answer: E


Dear JeffTargetTestPrep, Why fragrance is not reduced to 0.5?
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Re: A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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New post 27 Mar 2017, 15:03
The ratio of soap to fragrance is three times greater (than the ratio of water to soap)

Water : Soap = 2 : 1
Soap : Fragrance = 3*(2 : 1) = 6 : 1

Need common ratio:

So, Water : Soap = 2 : 1 = (6*2) : (6*1) = 12 : 6

Water : Soap : Fragrance = 12 : 6 : 1

Since half the water evaporated, the ratio value of Water = 12/2 = 6.

Water : Soap : Fragrance = 6 : 6 : 1
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Re: A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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Hi Bunuel,
In the question it is the ratio of Soap to fragrance is three times greater not three times
so the ratio should be 8:1( even though not a single ans choice matches this)
Please explain,
thank you.
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A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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New post 12 Dec 2017, 00:53
SMD wrote:
The ratio of soap to fragrance is three times greater (than the ratio of water to soap)

Water : Soap = 2 : 1
Soap : Fragrance = 3*(2 : 1) = 6 : 1

Need common ratio:

So, Water : Soap = 2 : 1 = (6*2) : (6*1) = 12 : 6

Water : Soap : Fragrance = 12 : 6 : 1

Since half the water evaporated, the ratio value of Water = 12/2 = 6.

Water : Soap : Fragrance = 6 : 6 : 1


The ratio is now three times greater.
So, Shouldn't this "Soap : Fragrance = 3*(2 : 1) = 6 : 1" become "Soap : Fragrance = 3*(2 : 1) = 6 : 3"?
Can you let me know what I am missing?
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A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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New post 13 Jan 2018, 05:18
Hi VeritasPrepKarishma, I have one question, though i solved this question.

I have a question, initially i thought the ratio of soap to fragrance is 3 times greater than ratio of water to soap means 300% more => say ratio is x, 3 times greater is x + 3x = 4x, so i solved the question with ratio of soap to fragrance = 8:1 instead of 6:1, but could not find my answer for ratio after water evaporates (8:1) in the choices. Then i had to consider as 6:1 and solve it again. Had there been an answer choice as 8:1, i would have picked up that by mistake. Luckily it was n't there, but we can definitely expect such trap in real exam.

can you please clarify , is n't 3 times greater = x + 3x?
and 3 times = 3x?

Thanks
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Re: A certain cleaning product is composed of water, soap, and fragrance. [#permalink]

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New post 15 Feb 2018, 11:42
Bunuel wrote:
A certain cleaning product is composed of water, soap, and fragrance. If the ratio of water to soap is 2:1 and the ratio of soap to fragrance is three times greater, what is the ratio of water to fragrance after half of the water evaporates?

A. 1:12
B. 1:6
C. 2:1
D. 3:1
E. 6:1


I can't understand how to derive the ratio of Soap to Fragrance... can someone please explain it to me? Many thanks :cry:
Re: A certain cleaning product is composed of water, soap, and fragrance.   [#permalink] 15 Feb 2018, 11:42
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