It is currently 17 Oct 2017, 04:40

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If 3 pounds of dried apricots that cost x dollars per pound

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128522 [0], given: 12180

If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

22 Jan 2014, 02:25
Expert's post
10
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

75% (00:42) correct 25% (00:44) wrong based on 710 sessions

### HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

(A) (3x + 2y)/5
(B) (3x + 2y)/(x + y)
(C) (3x + 2y)/(xy)
(D) 5(3x + 2y)
(E) 3x + 2y

Problem Solving
Question: 54
Category: Algebra Applied problems; Simplifying algebraic expressions
Page: 68
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND 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:
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!
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128522 [0], given: 12180

Math Expert
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128522 [0], given: 12180

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

22 Jan 2014, 02:25
Expert's post
2
This post was
BOOKMARKED
SOLUTION

If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

(A) (3x + 2y)/5
(B) (3x + 2y)/(x + y)
(C) (3x + 2y)/(xy)
(D) 5(3x + 2y)
(E) 3x + 2y

The cost per pound is (total cost)/(total number of pounds) = (3x + 2y)/(2 + 3) = (3x + 2y)/5.

_________________

Kudos [?]: 128522 [0], given: 12180

Intern
Joined: 10 Apr 2012
Posts: 46

Kudos [?]: 24 [2], given: 13

Concentration: Finance
Schools: Goizueta '19 (I)
WE: Analyst (Commercial Banking)
Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

22 Jan 2014, 06:54
2
KUDOS
By number picking strategy, my answer is A

Kudos [?]: 24 [2], given: 13

Senior Manager
Joined: 20 Dec 2013
Posts: 267

Kudos [?]: 106 [1], given: 29

Location: India
Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

22 Jan 2014, 09:19
1
KUDOS
Cost of 3 pds=3x
Cost of 2 pds=2y
Total=3x+2y
Per pd cost=(3x+2y)/5
Ans.A

Posted from my mobile device

Kudos [?]: 106 [1], given: 29

Manager
Status: GMATting
Joined: 21 Mar 2011
Posts: 108

Kudos [?]: 105 [0], given: 104

Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

22 Jan 2014, 21:34
Total Cost = Weight(in pounds) * Price/pound;
To find Total cost/pound, Divide by total pounds.

Cost of Dried apricots = 3x;
Cost of prunes = 2y;

Cost per pound = (3x + 2y)/5;

Ans is (A).

Kudos [?]: 105 [0], given: 104

Senior Manager
Joined: 27 May 2012
Posts: 399

Kudos [?]: 85 [1], given: 478

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

23 Jan 2014, 07:01
1
KUDOS
if x is the cost per pound of Apricots then 3 pounds cost = 3x
If y is the cost per pound of prunes then 2 pounds cost =2y

So the total cost is 3x+2y for the 5 pounds
So per pound cost will be = (3x+2y)/5

_________________

- Stne

Kudos [?]: 85 [1], given: 478

Intern
Joined: 22 Jan 2014
Posts: 4

Kudos [?]: [0], given: 24

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

23 Jan 2014, 14:20
stne wrote:
if x is the cost per pound of Apricots then 3 pounds cost = 3x
If y is the cost per pound of prunes then 2 pounds cost =2y

So the total cost is 3x+2y for the 5 pounds
So per pound cost will be = (3x+2y)/5

Isn't this also a weighted average problem?

Kudos [?]: [0], given: 24

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7670

Kudos [?]: 17325 [2], given: 232

Location: Pune, India
Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

23 Jan 2014, 21:07
2
KUDOS
Expert's post
yagobert wrote:
stne wrote:
if x is the cost per pound of Apricots then 3 pounds cost = 3x
If y is the cost per pound of prunes then 2 pounds cost =2y

So the total cost is 3x+2y for the 5 pounds
So per pound cost will be = (3x+2y)/5

Isn't this also a weighted average problem?

Yes, 'cost per pound of the mixture' is the 'weighted average cost'. You are essentially using the formula Cavg = (C1*w1 + C2*w2)/(w1 + w2)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Kudos [?]: 17325 [2], given: 232

Math Expert
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128522 [0], given: 12180

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

25 Jan 2014, 12:22
SOLUTION

If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

(A) (3x + 2y)/5
(B) (3x + 2y)/(x + y)
(C) (3x + 2y)/(xy)
(D) 5(3x + 2y)
(E) 3x + 2y

The cost per pound is (total cost)/(total number of pounds) = (3x + 2y)/(2 + 3) = (3x + 2y)/5.

_________________

Kudos [?]: 128522 [0], given: 12180

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16766

Kudos [?]: 273 [0], given: 0

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

04 Mar 2015, 11:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 9962

Kudos [?]: 3397 [0], given: 172

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

04 Mar 2015, 17:57
Expert's post
1
This post was
BOOKMARKED
Hi all,

This question can be solved in a variety of ways. If you catch the fact that there are only 5 total pounds of fruit, then you can avoid most of the work altogether, since the question asks for the average price per POUND of fruit.

Since none of the other explanations have TESTed VALUES, I'll show you how to use that approach here:

We have...
3 pounds of dried apricots that cost \$X per pound and...
2 pounds of prunes that cost \$Y per pound.

IF...
X = 3
Y = 4

Then the apricots cost 3(\$3) = \$9
and the prunes cost 2(\$4) = \$8

Total cost = \$17 and total weight = 5 pounds, so the correct answer will be 17/5

Answer A: (9+8)/5 = 17/5 This IS a match.
Answer B: (9+8)/(3+4) = 17/7 NOT a match
Answer C: (9+8)/(3)(4) = 17/12 NOT a match
Answer D: 5(9+8) = 85 NOT a match
Answer E: 9 + 8 = 17 NOT a match

[Reveal] Spoiler:
A

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3397 [0], given: 172

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16766

Kudos [?]: 273 [0], given: 0

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

27 Sep 2016, 04:41
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Joined: 30 May 2015
Posts: 37

Kudos [?]: 12 [0], given: 72

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

11 Feb 2017, 14:07
as per question stem:
Total cost of 3 pound of Apricots - 3x
Total cost of 2 pound of Prunes - 27

Total cost of mixture = 3x+2y
Total Mixture = 5 pound

so cost of 5 pound = 3x+2y
then cost of 1 pound = ((3x+2y)/5)

Kudos [?]: 12 [0], given: 72

Director
Joined: 02 Sep 2016
Posts: 778

Kudos [?]: 41 [0], given: 267

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

17 Aug 2017, 03:51
Bunuel If we divide the total cost by x+y, what does that gives us?
_________________

Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.

Kudos [?]: 41 [0], given: 267

Math Expert
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128522 [0], given: 12180

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

17 Aug 2017, 04:03
Shiv2016 wrote:
Bunuel If we divide the total cost by x+y, what does that gives us?

Dividing total cost (3x + 2y) by the sum of the prices per pound (x+y) gives us nothing.
_________________

Kudos [?]: 128522 [0], given: 12180

Senior Manager
Joined: 29 Jun 2017
Posts: 345

Kudos [?]: 65 [0], given: 64

WE: Engineering (Transportation)
Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

17 Aug 2017, 05:25
Ans is A

3 pound Apricot with 2 pound prunes

total cost is 3x+2y
but this is for 5 pounds (3+2)

so cost per pound will be 3x+2y / 5
_________________

Give Kudos for correct answer and/or if you like the solution.

Kudos [?]: 65 [0], given: 64

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1545

Kudos [?]: 827 [0], given: 5

Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

21 Aug 2017, 16:45
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

(A) (3x + 2y)/5
(B) (3x + 2y)/(x + y)
(C) (3x + 2y)/(xy)
(D) 5(3x + 2y)
(E) 3x + 2y

We can create the following weighted average equation:

(3x + 2y)/(3 + 2) = (3x + 2y)/5

Alternate Solution:

We add 3 pounds at x dollars per pound to 2 pounds at y dollars per pound to yield 5 pounds at z dollars per pound. We set up the following equation and solve for z:

3x + 2y = 5z

(3x + 2y)/5 = z

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 827 [0], given: 5

Manager
Joined: 19 Jul 2017
Posts: 86

Kudos [?]: 10 [0], given: 85

Location: India
Concentration: General Management, Strategy
GPA: 3.5
Re: If 3 pounds of dried apricots that cost x dollars per pound [#permalink]

### Show Tags

10 Sep 2017, 20:07
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

(A) (3x + 2y)/5
(B) (3x + 2y)/(x + y)
(C) (3x + 2y)/(xy)
(D) 5(3x + 2y)
(E) 3x + 2y

Problem Solving
Question: 54
Category: Algebra Applied problems; Simplifying algebraic expressions
Page: 68
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND 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:
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!

Total cost for 5 pounds =3x+2y.
Cost per pound of the mixture = 3x+2y/5.

Ans:A

Kudos [?]: 10 [0], given: 85

Re: If 3 pounds of dried apricots that cost x dollars per pound   [#permalink] 10 Sep 2017, 20:07
Display posts from previous: Sort by