A glucose solution contains 15 grams of glucose per 100 : GMAT Problem Solving (PS)
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# A glucose solution contains 15 grams of glucose per 100

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A glucose solution contains 15 grams of glucose per 100 [#permalink]

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08 Oct 2012, 00:58
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

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[Reveal] Spoiler: OA

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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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08 Oct 2012, 00:58
SOLUTION

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

Construct an equation: $$\frac{15}{100}=\frac{x}{45}$$ --> $$x=6.75$$.

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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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08 Oct 2012, 01:50
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Glucose in the original solution (%) = 15%
Note - We can not separate glucose with out any extraction process

Thus thus the percentage will remain constant i.e. 15% = 45 *.15 = 6.75
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Last edited by fameatop on 08 Oct 2012, 10:20, edited 1 time in total.
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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08 Oct 2012, 03:46
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

Practice Questions
Question: 59
Page: 160
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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If the concentration is $$15%,$$ it means that for every 100 cubic centimeters of solution we have 15 grams of glucose, or for every 100/20 = 5 cubic centimeter we have 15/20 = 3/4 grams of glucose. Therefore, in $$45 = 9\cdot5$$ cubic centimeters of solution, we have $$9\cdot\frac{3}{4}=\frac{27}{4}=6.75$$ grams of glucose.

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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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08 Oct 2012, 08:48
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its 6.75..

how i do it..

i take its Directly proportion or inverse proportion

Glucose 15 solution 100...

glucose X solution 45 ....

45*15/100=6.75

if it wud be inverse relation between them like solution increase and glucose decrease then we wud do like this

15*100/45
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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08 Oct 2012, 09:00
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Simple Unitary method :

100cm^3 -------------------------- 15gm
45cm^3 ---------------------------(15/100)*45 = 6.75 (i.e., E)

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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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11 Oct 2012, 02:52
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EvaJager wrote:
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

Practice Questions
Question: 59
Page: 160
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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If the concentration is $$15%,$$ it means that for every 100 cubic centimeters of solution we have 15 grams of glucose, or for every 100/20 = 5 cubic centimeter we have 15/20 = 3/4 grams of glucose. Therefore, in $$45 = 9\cdot5$$ cubic centimeters of solution, we have $$9\cdot\frac{3}{4}=\frac{27}{4}=6.75$$ grams of glucose.

Nice as usual made by you the right solution I like your approach.

A bit straight should be

$$\frac{15}{100}$$ $$=$$ $$\frac{x}{45}$$ -------> 6.75

E wins
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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11 Oct 2012, 12:38
SOLUTION

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

Construct an equation: $$\frac{15}{100}=\frac{x}{45}$$ --> $$x=6.75$$.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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26 May 2014, 08:09
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Bunuel wrote:
SOLUTION

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

Construct an equation: $$\frac{15}{100}=\frac{x}{45}$$ --> $$x=6.57$$.

Bunuel, Isnt there a Type of 6.57, when it should be 6.75
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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26 May 2014, 08:24
jatinsachani wrote:
Bunuel wrote:
SOLUTION

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

Construct an equation: $$\frac{15}{100}=\frac{x}{45}$$ --> $$x=6.57$$.

Bunuel, Isnt there a Type of 6.57, when it should be 6.75

Yes, it's a typo. Thank you for noticing.
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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10 Sep 2014, 21:00
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

Practice Questions
Question: 59
Page: 160
Difficulty: 550

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
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i was totally ... and got this wrong...

but simple way is

(45*15)/100

6.75
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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03 Jun 2016, 05:35
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

We are given that a glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. Since we are dealing with a solution, we know that the grams of glucose is proportional to the number of cubic centimeters of solution. Thus, to determine how many grams of glucose would be in the container when we have 45 cubic centimeters of solution, we can set up a proportion.

We can say: “15 grams of glucose is to 100 cubic centimeters of solution as x grams of glucose is to 45 cubic centimeters of solution.” Let’s now set up the proportion and solve for x.

15/100 = x/45

When we cross multiply we obtain:

(15)(45) = 100x

675 = 100x

6.75 = x

There are 6.75 grams of glucose in the solution in the container.

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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink]

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05 Jul 2016, 06:09
[quote="Bunuel"]The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

(A) 3.00
(B) 5.00
(C) 5.50
(D) 6.50
(E) 6.75

15==>100
?==>45

15*45 / 100 = 6.75

45*100 /15 = ?
Re: A glucose solution contains 15 grams of glucose per 100   [#permalink] 05 Jul 2016, 06:09
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