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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 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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21 Mar 2017, 04:15

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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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"Be challenged at EVERY MOMENT."

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

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21 Mar 2017, 04:38

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?
_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

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

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10 Apr 2017, 06:50

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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.

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?

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?