It is currently 18 Oct 2017, 08:24

# Live Now:

### 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 oz of juice P and 25 oz of juice V are mixed to make smot

Author Message
TAGS:

### Hide Tags

Manager
Joined: 09 Jan 2010
Posts: 124

Kudos [?]: 41 [3], given: 12

24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink]

### Show Tags

26 Apr 2011, 07:17
3
KUDOS
20
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

74% (02:11) correct 26% (02:45) wrong based on 544 sessions

### HideShow timer Statistics

24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?

A. 5
B. 10
C. 15
D. 20
E. 25
[Reveal] Spoiler: OA

Kudos [?]: 41 [3], given: 12

Manager
Joined: 09 Aug 2010
Posts: 106

Kudos [?]: 56 [3], given: 7

### Show Tags

26 Apr 2011, 07:58
3
KUDOS
7
This post was
BOOKMARKED
shalu wrote:
24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?

5
10
15
20
25

Equation 1: Xsmoothie + Ysmoothie = 24 + 25 = 49 oz
Using the ratio of 4 is to 1 for Xsmoothie then, we know 4/(1+4) is P juice in Xsmoothie
Using the ratio of 1 is to 5 for Ysmoothie, we know 1/(1+5) is P jiuce in Ysmoothie

Equation 2: (4/5)X + (1/6)Y = 24

Let us now solve for x:
(4/5)X + (1/6)(49-X) = 24
24x + 5(49-x) = (24)(30)
24x + 245-5x = (24)(30)
19x = 720 -245
19x = 475
x=25

There is (4/5)(25) in Xsmoothie.

Kudos [?]: 56 [3], given: 7

Senior Manager
Joined: 03 Mar 2010
Posts: 422

Kudos [?]: 361 [1], given: 22

Schools: Simon '16 (M)

### Show Tags

26 Apr 2011, 07:58
1
KUDOS
shalu wrote:
24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?

Let there be x units of smothies X and y units of smothies Y.
For X:
P = 4x/5
V= x/5

For Y
P= y/6
V= 5y/6

Also, 4x/5 + y/6 = 24 ( 24 oz of P )--------(1)
x/5 + 5y/6 = 25 ( 25 oz of V)--------(2)
Solving above two equations: x= 25, y= 24

Hence, ounces of juice P contained in smothie X = 4x/5 => 4*25/5 = 20.

OA. 20.
_________________

My dad once said to me: Son, nothing succeeds like success.

Kudos [?]: 361 [1], given: 22

Manager
Joined: 07 Oct 2010
Posts: 174

Kudos [?]: 178 [0], given: 10

### Show Tags

26 Apr 2011, 08:04
Easy way to solve this question is start from the answer and then conform the information provided in the question.

we can start from option D i.e 20 ... as a quantity of juice P in X because it is the only one option that gets divided by 4 is 20 ... since in the X the juice P to V ratio is 4:1

this gives us that quantity of juice P in X = 20 therefore quantity of Juice V will be 5 ... hence ratio = 4:1

This will lead to quantity of juice P in X = 4 and quantity of Juice V = 20 ... hence ratio 1:5

if we calculate total Juice P = 24 and total of juice V = 25
it fits because totals are same as what mentioned in the question ...

thus ans is D

Kudos [?]: 178 [0], given: 10

SVP
Joined: 16 Nov 2010
Posts: 1598

Kudos [?]: 592 [2], given: 36

Location: United States (IN)
Concentration: Strategy, Technology

### Show Tags

26 Apr 2011, 09:03
2
KUDOS
p1 + p2 = 24

v1 + v2 = 25

p1 = 4v1

p2 = v2/5

4v1 + v2/5 = 24

v1 + v2 = 25

4v2 - v2/5 = 76

19v2/5 = 76 => v2 = 20

=> v1 = 5

=> p1 = 20

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 592 [2], given: 36

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7674

Kudos [?]: 17347 [8], given: 232

Location: Pune, India

### Show Tags

26 Apr 2011, 18:52
8
KUDOS
Expert's post
6
This post was
BOOKMARKED
shalu wrote:
24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?

5
10
15
20
25

There isn't much of mixture concept you need here. It is actually based on ratios.
Smoothie X -> Juice P: 4n oz, Juice V: n oz
Juice P left for Smoothie Y: 24 - 4n
Juice V left for Smoothie Y: 25 - n
Smoothie Y ratio of P/V = $$\frac{1}{5} = \frac{(24-4n)}{(25-n)}$$
n = 5
Juice P in smoothie X = 4*5 = 20 oz
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Kudos [?]: 17347 [8], given: 232 Director Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing. Affiliations: University of Chicago Booth School of Business Joined: 03 Feb 2011 Posts: 871 Kudos [?]: 396 [0], given: 123 Re: mixture problem [#permalink] ### Show Tags 26 Apr 2011, 20:54 Karishma Pls see this. Lets evaluate the ratio of X : Y. If I mix X and Y smoothie then they should yield the ratio of p:q = 24:25. The net ratio is 24:25 or 0.96 (mean) The ratio of X is 4:1 or 4.0 The ratio of Y is 1:5 or 0.2 Since the ratio of Y is near the weighted mean, when I combine X and Y then Y > X i.e. the quantity of Y is more than that of X -----(1) However, I am getting X = 25 oz and Y = 24 oz by using algebra - exactly opposite of inference (1). I thought that quantity that is closer to mean will pull the mean - the quantity of Y should be more. Did I miss something? On the other hand equations yield- In X : p and q are in ratio 4a:a In Y : p and q are in ratio b:5b Now, 4a + b = 24 (total quantity of juice P) a + 5b = 25 (total quantity of juice Q) Solving we get a = 5, b = 4 Hence X = 5a = 5 * 5 = 25 oz Y = 6b = 6*4 = 24 oz or X : Y = 25 : 24 VeritasPrepKarishma wrote: There isn't much of mixture concept you need here. It is actually based on ratios. Smoothie X -> Juice P: 4n oz, Juice V: n oz Juice P left for Smoothie Y: 24 - 4n Juice V left for Smoothie Y: 25 - n Smoothie Y ratio of P/V = $$\frac{1}{5} = \frac{(24-4n)}{(25-n)}$$ n = 5 Juice P in smoothie X = 4*5 = 20 oz Kudos [?]: 396 [0], given: 123 Director Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing. Affiliations: University of Chicago Booth School of Business Joined: 03 Feb 2011 Posts: 871 Kudos [?]: 396 [0], given: 123 Re: mixture problem [#permalink] ### Show Tags 27 Apr 2011, 19:42 VeritasPrepKarishma wrote: 24/25 doesn't have any physical meaning. Thanks ! So for using the "balance" I can use any one of the ingredients in the mix. Kudos [?]: 396 [0], given: 123 GMAT Club Legend Joined: 09 Sep 2013 Posts: 16708 Kudos [?]: 273 [0], given: 0 Re: mixture problem [#permalink] ### Show Tags 12 Nov 2013, 19:18 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 Current Student Joined: 06 Sep 2013 Posts: 1978 Kudos [?]: 719 [3], given: 355 Concentration: Finance Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink] ### Show Tags 22 Nov 2013, 08:45 3 This post received KUDOS 2 This post was BOOKMARKED shalu wrote: 24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X? A. 5 B. 10 C. 15 D. 20 E. 25 Pretty straightforward. For X: P/V = 4X/X For Y: P/V = Y/5Y Then 4x + y = 24 Also x+5y=25 So x=5 4x = 20 Answer is D Hope it helps Cheers! J Kudos [?]: 719 [3], given: 355 Director Joined: 03 Aug 2012 Posts: 899 Kudos [?]: 885 [0], given: 322 Concentration: General Management, General Management GMAT 1: 630 Q47 V29 GMAT 2: 680 Q50 V32 GPA: 3.7 WE: Information Technology (Investment Banking) Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink] ### Show Tags 18 Apr 2014, 21:43 24-P 25-V Solutions X and Y X - P:V = 4:1 Y - P:V = 1:5 Now since total P and V are consumed to make X and Y, so 4X + Y = 24 X + 5Y = 25 X=5 We need to know what is 4X Hence 20 _________________ Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________ Kudos [?]: 885 [0], given: 322 Current Student Joined: 06 Sep 2013 Posts: 1978 Kudos [?]: 719 [0], given: 355 Concentration: Finance Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink] ### Show Tags 23 Apr 2014, 13:31 TGC wrote: 24-P 25-V Solutions X and Y X - P:V = 4:1 Y - P:V = 1:5 Now since total P and V are consumed to make X and Y, so 4X + Y = 24 X + 5Y = 25 X=5 We need to know what is 4X Hence 20 Same way I did it. Bunuel could you please validate? Thanks Cheers! J Kudos [?]: 719 [0], given: 355 SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1853 Kudos [?]: 2617 [0], given: 193 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink] ### Show Tags 23 Apr 2014, 22:47 2 This post was BOOKMARKED Mixture I P solution = p V solution = v Mixture II P solution = 24-p V solution = 25-v Total = 49 ounces Ratio in Mixture I $$\frac{p}{v} = \frac{4}{1}$$ Ratio in Mixture II $$\frac{24-p}{25-v} = \frac{1}{5}$$ Solving both equations above, p = 20 Answer = D _________________ Kindly press "+1 Kudos" to appreciate Kudos [?]: 2617 [0], given: 193 Manager Joined: 07 May 2015 Posts: 102 Kudos [?]: 15 [0], given: 6 Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink] ### Show Tags 02 Aug 2015, 18:19 shalu wrote: 24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X? A. 5 B. 10 C. 15 D. 20 E. 25 This is how I did it and just want to make sure that this is a correct approach and not just a co-incidence. x = p/v = 4/1 y = p/v = 1/5 so asusming that total solution is a multiple of = 5 ( taking 1 from first fractions denominator and 5 from second denominator so 5x1 = 5) So x = 4x5/1x4 = 20/4 y = 1x5/5x5 = 5/25 Hence P in X = 20 Kudos [?]: 15 [0], given: 6 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7674 Kudos [?]: 17347 [1], given: 232 Location: Pune, India Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink] ### Show Tags 02 Aug 2015, 23:34 1 This post received KUDOS Expert's post neeraj609 wrote: shalu wrote: 24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X? A. 5 B. 10 C. 15 D. 20 E. 25 This is how I did it and just want to make sure that this is a correct approach and not just a co-incidence. x = p/v = 4/1 y = p/v = 1/5 so asusming that total solution is a multiple of = 5 ( taking 1 from first fractions denominator and 5 from second denominator so 5x1 = 5) So x = 4x5/1x4 = 20/4 y = 1x5/5x5 = 5/25 Hence P in X = 20 Not sure what you did here. Cannot say if it is correct. "total solution is a multiple of = 5 ( taking 1 from first fractions denominator and 5 from second denominator so 5x1 = 5)" doesn't sound correct. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Kudos [?]: 17347 [1], given: 232

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16708

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

Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink]

### Show Tags

01 Sep 2016, 04:57
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

Intern
Joined: 09 Sep 2016
Posts: 1

Kudos [?]: 1 [0], given: 8

Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink]

### Show Tags

12 Nov 2016, 21:52
1
This post was
BOOKMARKED
refer the attachment for solution
Attachments

solution.png [ 7.19 KiB | Viewed 1616 times ]

Kudos [?]: 1 [0], given: 8

Director
Joined: 07 Dec 2014
Posts: 812

Kudos [?]: 247 [0], given: 12

24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink]

### Show Tags

12 Nov 2016, 23:38
shalu wrote:
24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?

A. 5
B. 10
C. 15
D. 20
E. 25

total ounces in X are divisible by 5
total ounces in Y are divisible by 6
if X+Y=49, then
X must have a ones digit of 5
Y must have a ones digit of 4
only possible option for X=25 ounces
25*4/5=20 ounces of P in X
D

Kudos [?]: 247 [0], given: 12

Manager
Joined: 04 Jul 2017
Posts: 59

Kudos [?]: 13 [0], given: 60

Location: India
Concentration: Marketing, General Management
GPA: 1
WE: Analyst (Consulting)
Re: 24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink]

### Show Tags

04 Sep 2017, 07:49
I somehow did (4/5)*24=19.2 and since it was close to 20, assumed it to be the answer. Was my approach on the right track?

Kudos [?]: 13 [0], given: 60

Manager
Joined: 04 Jul 2017
Posts: 59

Kudos [?]: 13 [0], given: 60

Location: India
Concentration: Marketing, General Management
GPA: 1
WE: Analyst (Consulting)
24 oz of juice P and 25 oz of juice V are mixed to make smot [#permalink]

### Show Tags

08 Sep 2017, 03:23
I understand the answer is D.

My approach was to create as many equations as possible:
X+Y=49 (Eq 1)
Px+Py=24 (Eq 2)
Vx+Vy=25 (Eq 3)
X=Px/Vy=4/1=Px=4Vy (Eq 4)
Y=Px/Vy=1/5=Px=Vy/5 (Eq 5)

Then I saw, I can substitute Px=4Py in Eq 2.
I did that to get the following:
4Py+Py=24
5Py=24
Py=4.8
Px+4.8=24
Px=24-4.8=19.2.

Please help me understand where is my understanding wrong/what is the concept here/where am I going wrong?

Last edited by aashishagarwal2 on 08 Sep 2017, 07:13, edited 1 time in total.

Kudos [?]: 13 [0], given: 60

24 oz of juice P and 25 oz of juice V are mixed to make smot   [#permalink] 08 Sep 2017, 03:23

Go to page    1   2    Next  [ 21 posts ]

Display posts from previous: Sort by