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Math Expert V
Joined: 02 Sep 2009
Posts: 59561
If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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Question Stats: 80% (00:57) correct 20% (01:12) wrong based on 722 sessions

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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) $$\frac{3x + 2y}{5}$$

(B) $$\frac{3x + 2y}{x + y}$$

(C) $$\frac{3x + 2y}{xy}$$

(D) $$5(3x + 2y)$$

(E) $$3x + 2y$$

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

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Math Expert V
Joined: 02 Sep 2009
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Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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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.

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

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2
By number picking strategy, my answer is A
Manager  Joined: 20 Dec 2013
Posts: 222
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Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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Cost of 3 pds=3x
Cost of 2 pds=2y
Total=3x+2y
Per pd cost=(3x+2y)/5
Ans.A

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GMAT 1: 590 Q45 V27 Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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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).
Director  V
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Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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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

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

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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?
Veritas Prep GMAT Instructor V
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Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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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)
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Karishma
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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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

GMAT assassins aren't born, they're made,
Rich
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Wharton Moderator B
Joined: 30 May 2015
Posts: 34
Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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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)
Director  G
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Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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Bunuel If we divide the total cost by x+y, what does that gives us?
Math Expert V
Joined: 02 Sep 2009
Posts: 59561
Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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

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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
Target Test Prep Representative G
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Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed  [#permalink]

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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

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

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

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_________________ Re: If 3 pounds of dried apricots that cost x dollars per pound are mixed   [#permalink] 18 Feb 2019, 05:27
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