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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

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.

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: \(\frac{15}{100}=\frac{x}{45}\) --> \(x=6.57\).

Answer: E.

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

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

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.
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

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

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 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.

The answer is E.
_________________

Jeffrey Miller Jeffrey Miller Head of GMAT Instruction

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: \(\frac{15}{100}=\frac{x}{45}\) --> \(x=6.75\).

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.
_________________

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.
_________________

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

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.

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 = ?

gmatclubot

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

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