Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club

 It is currently 24 Mar 2017, 05:35

### 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

# 24 lbs of coffee P and 25 lbs of coffee V are mixed to make

Author Message
TAGS:

### Hide Tags

Current Student
Joined: 31 Aug 2007
Posts: 369
Followers: 1

Kudos [?]: 137 [1] , given: 1

24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]

### Show Tags

20 Dec 2007, 14:13
1
KUDOS
12
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

63% (04:33) correct 38% (05:47) wrong based on 32 sessions

### HideShow timer Statistics

24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?
CEO
Joined: 17 Nov 2007
Posts: 3588
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 565

Kudos [?]: 3769 [0], given: 360

### Show Tags

20 Dec 2007, 16:33
Expert's post
1
This post was
BOOKMARKED
20

px/vx=4/1, py/vy=1/5,
px+py=24
vx+vy=25

px+py=24
px/4+5py=25

px+5-px/20=24 ==> px=20
CEO
Joined: 29 Mar 2007
Posts: 2575
Followers: 20

Kudos [?]: 435 [2] , given: 0

### Show Tags

20 Dec 2007, 22:45
2
KUDOS
young_gun wrote:
24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?

Px/Vx=4/1

Py/Vy=1/5

Px=4Vx

5Py=Vy

Px+Py=24
Vx+Vy=25

Px+Py=24
Px/4+5Py=25

-5px-5Py=-120
+Px/4+5Py=25

(Px-20Px)/4=-95 --> -19Px=-380

Px=20
Director
Joined: 25 Oct 2008
Posts: 608
Location: Kolkata,India
Followers: 13

Kudos [?]: 841 [0], given: 100

### Show Tags

14 Aug 2009, 18:30
I dont understand the logic..seems like such a simple problem:(
_________________

http://gmatclub.com/forum/countdown-beginshas-ended-85483-40.html#p649902

Manager
Joined: 11 May 2009
Posts: 126
Schools: Columbia Business School, Goizueta, Sloan
Followers: 3

Kudos [?]: 3 [1] , given: 28

### Show Tags

15 Aug 2009, 07:52
1
KUDOS
tejal777 wrote:
I dont understand the logic..seems like such a simple problem:(

don't beat yourself up so much. Most of people happen to stumble even at the easy problems (including me). I'll give you an explanation in words. Just look at the post of gmatblackbelt while you read this. Remember to look at each two lines as a pair (first and second are together, third and fourth are together, fifth and sixth are together and so on):

first two pairs represent what is stated in the problem - a proportion

second two represent what is done when outside unknowns are matched vs. inside unknows (look above)

third two mean that if you combine P coffee from x and y mixture you will get 24 (same thing for V)

This one is the key. To solve this problem you will need to replace Vx and Vy with Px and Py(because it is what you were asked to find). You just need to look at the lines above to figure out how much is it

Next line. Because you cannot solve the equation with two unkowns you need to multiply the equation above with -5

Then, you will eliminate 5py with -5py and sum up all other number and solve the equation.

It does seem complicated in the beginning but once you adjust it is fairly easy.

let me now if you need anything else with this
_________________

Set your aims high, carpe diem

Manager
Joined: 10 Jul 2009
Posts: 129
Location: Ukraine, Kyiv
Followers: 4

Kudos [?]: 147 [0], given: 60

### Show Tags

23 Sep 2009, 10:43
Also you can solve it by picking numbers. I did this way very quickly. found 20 as well.
_________________

Never, never, never give up

Intern
Joined: 01 Sep 2009
Posts: 34
Followers: 0

Kudos [?]: 8 [0], given: 4

### Show Tags

23 Sep 2009, 11:11
Good question.. thanks for the good explanation.

Just curious, would you consider this easy, medium or hard GMAT level
Manager
Joined: 27 Oct 2008
Posts: 185
Followers: 2

Kudos [?]: 146 [4] , given: 3

### Show Tags

23 Sep 2009, 11:15
4
KUDOS
2
This post was
BOOKMARKED
24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?

Soln:
Let there be 4x lbs of P in X and x lbs of V in X
Let there be y lbs of P in Y and 5y lbs of V in Y

Now total P is
4x + y = 24
and total Q is
x + 5y = 25

Solving the two equations, we get
x = 5 and y = 4

Mixture X has 4x lbs of P = 4x = 4 * 5 = 20lbs
Manager
Joined: 02 Oct 2009
Posts: 197
Followers: 1

Kudos [?]: 20 [0], given: 4

### Show Tags

30 Jan 2010, 16:02
agree with barakhaiev... picking numbers worked out quicker for me... against creating variables and equations...!
Manager
Joined: 08 Oct 2009
Posts: 64
Location: Denver, CO
WE 1: IT Business Analyst-Building Materials Industry
Followers: 1

Kudos [?]: 19 [0], given: 4

### Show Tags

17 Feb 2010, 17:46
I got 20 also. Quant is not my strong point but here is how I did it.

Using the ratio of P to V in Coffee X, we find that 4/5 of Coffee X is from Coffee P. Since they P and V are mixed it is assumed that they are both used completely. So the amount of Coffee P not used in Coffee X must be equal to the amount of P used in Coffee Y. So from the ratios we get 1/5X=1/6, we solve for X to find that 5/6 of Coffee P was used in Coffee X. Multiply 5/6 by 24 to get the answer 20.
Intern
Joined: 14 Sep 2010
Posts: 22
Followers: 0

Kudos [?]: 14 [0], given: 4

Re: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]

### Show Tags

15 Dec 2011, 04:09
24 lbs of coffee P and 25 lbs of coffee V
make
Coffee X and Coffee Y
such that
P:V in coffee X is 4:1
P:V in coffee Y is 1:5
and
X + Y = 49

System of Equations

P1 + V1 = X (eq.1)
P2 + V2 = Y (eq.2)

P1 + P2 = 24 (eq.3)
V1 + V2 = 25 (eq.4)

P1 = (4/5)x
P2 = (1/6)y

V1 = (1/5)x
V2 = (5/6)y

===========================
From eq. 3:

(4/5)x + (1/6)y = 24
(1/6)y = 24 - (4/5)x

y = 144 - (24/5)x

(1/5)x + (5/6)y = 25

===========================

(1/5)x + (5/6)(144 - (24/5)x) = 25
(19/5)x = 95
x = 25

==========================

Y = 49 - x
Y = 24

---

P1 = (4/5)(25) = 20
P2 = (1/6)(24) = 4

[MF1415:XDJ]
Intern
Joined: 31 Oct 2011
Posts: 46
Location: India
Followers: 0

Kudos [?]: 15 [0], given: 11

Re: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]

### Show Tags

18 Dec 2011, 02:29
I too got 20...Good Question ...
_________________

Regards,
Rajesh
Helping hands are anytime better than praying hearts

Kudos ???!@# !!! I just love them

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 14384
Followers: 602

Kudos [?]: 174 [0], given: 0

Re: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]

### Show Tags

20 Apr 2014, 06:41
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.
_________________
Manager
Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 157
Location: India
Concentration: Finance, Strategy
GMAT 1: 530 Q39 V23
GMAT 2: 560 Q42 V26
GPA: 3.5
WE: Consulting (Computer Hardware)
Followers: 1

Kudos [?]: 96 [0], given: 39

Re: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]

### Show Tags

11 Sep 2014, 05:56
young_gun wrote:
24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?

X : 4x: x
Y : y:5y

4x+y= 24
x+5y=25

x=95/19=5 but in X : 4x: x

therefore p= 20
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 50

Kudos [?]: 2050 [0], given: 193

Re: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]

### Show Tags

31 Oct 2014, 00:51
Divide Coffee P & Coffee Y into 2 parts each

a ................. (24-a) ...... || .......... b .............. (25-b)
Coffee A ......................................... Coffee Y

Ratio in Coffee X$$= \frac{a}{b} = \frac{4}{1}$$

Ratio in Coffee Y$$= \frac{24-a}{25-b} = \frac{1}{5}$$

Solving, a = 20; b = 5

P contained in the mixture X = 20

Kindly update the OA.....
_________________

Kindly press "+1 Kudos" to appreciate

Intern
Joined: 29 May 2015
Posts: 15
Followers: 0

Kudos [?]: 2 [0], given: 29

Re: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]

### Show Tags

24 Aug 2015, 21:57
I did as below :

(1) Coffee x + Coffee y = 49
(2) (4/5)x + (1/6)y = 24

(2) 30 * [(4/5)x + (1/6)y ]= 24 * 30
24x + 5y = 720

Then,
(1) - (2)

5x+5y=245
- (24x+5y=720)
--------------------
-19x = -475
x = 25

Then,
X has (4/5) P,
25 * (4/5) = 20 in P
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 14384
Followers: 602

Kudos [?]: 174 [0], given: 0

Re: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make [#permalink]

### Show Tags

19 Oct 2016, 20:16
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.
_________________
Re: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make   [#permalink] 19 Oct 2016, 20:16
Similar topics Replies Last post
Similar
Topics:
1 other than gas, a gas station sells on average 12 coffees for $1.25 ea 1 16 Oct 2016, 21:25 4 Java House charges$3.25 for a cup of coffee that costs a total of \$2. 8 10 Feb 2015, 08:46
18 How many pounds of salt at 50 cents/lb must be mixed 12 07 Aug 2012, 13:26
43 24 oz of juice P and 25 oz of juice V are mixed to make smot 17 26 Apr 2011, 07:17
2 A snack mix as made by combining 5 lbs of dried sereal costi 5 22 Aug 2009, 20:23
Display posts from previous: Sort by