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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] New post 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

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

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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink] New post 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
Answer E
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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] New post 26 May 2014, 08:09
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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.

Answer: E.


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] New post 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

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.

Answer E.
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink] New post 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] New post 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] New post 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.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!



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.

Answer E.



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] New post 08 Oct 2012, 00:58
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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.

Answer: E.
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink] New post 11 Oct 2012, 12:38
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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.

Answer: E.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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COLLECTION OF QUESTIONS:
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Re: A glucose solution contains 15 grams of glucose per 100 [#permalink] New post 26 May 2014, 08:24
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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.

Answer: E.


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] New post 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.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!




i was totally :twisted: ... and got this wrong...

but simple way is

(45*15)/100

6.75
Re: A glucose solution contains 15 grams of glucose per 100   [#permalink] 10 Sep 2014, 21:00
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