GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Feb 2019, 07:41

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# Two liquids A and B are in the ratio 5:1 in container 1 and in the

Author Message
TAGS:

### Hide Tags

Current Student
Status: Chasing my MBB Dream!
Joined: 29 Aug 2012
Posts: 1118
Location: United States (DC)
WE: General Management (Aerospace and Defense)
Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

22 Jul 2017, 12:42
1
Top Contributor
13
00:00

Difficulty:

65% (hard)

Question Stats:

65% (02:12) correct 35% (02:35) wrong based on 224 sessions

### HideShow timer Statistics

Two liquids A and B are in the ratio 5:1 in container 1 and in the ratio 1:3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1:1?

(A) 2:3
(B) 4:3
(C) 3:2
(D) 3:4
(E) 1:1

Source: Aristotle.

_________________
Manager
Joined: 23 May 2017
Posts: 240
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

22 Jul 2017, 14:16
3
1
Let's say X amount of Liquid in container 1 is mixed with Y amount of Liquid in container 2

so

$$\frac{5x}{6}$$ + $$\frac{y}{4}$$= $$\frac{x + y}{2}$$

4x = 3y

$$\frac{x}{y}$$ = $$\frac{3}{4}$$
_________________

If you like the post, please award me Kudos!! It motivates me

Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3340
Location: India
GPA: 3.12
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

22 Jul 2017, 21:40
3
1
Gnpth wrote:
Two liquids A and B are in the ratio 5:1 in container 1 and in the ratio 1:3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1:1?

(A) 2:3
(B) 4:3
(C) 3:2
(D) 3:4
(E) 1:1

Source: Aristotle.

Lets assume the same quantity of the liquid in both the containers : 12 units.
Container 1 contains 10 units of liquid A and 2 units of liquid B
Container 2 contains 3 units of liquid A and 9 units of liquid B

Since the liquid in both the containers need to be mixed, such that the resulting
liquid has a ratio of 1:1(unit of liquid A : unit of liquid B)

Since the concentration of Liquid A must be equal to concentration of Liquid B
from both the containers.
$$10x + 3y = 2x + 9y$$
$$8x = 6y$$
$$\frac{x}{y} = \frac{3}{4}$$(Option D)
_________________

You've got what it takes, but it will take everything you've got

Intern
Joined: 31 Jan 2017
Posts: 48
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

22 Jul 2017, 22:08
3

Sent from my HTC Desire 816G dual sim using GMAT Club Forum mobile app
Manager
Joined: 01 Feb 2017
Posts: 188
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

26 Jul 2017, 13:52
3
1
Container 1:
Let each part be x.
Vol of A= 5x ; Vol of B= x ; Total Vol= 6x.

Container 2:
Let each part be y.
Vol of A= y ; Vol of B= 3y; Total Vol= 4y.

After Mixing:
Vol of A= 5x + y
Vol of B= x + 3y
As Ratio of A:B is 1:1, hence
5x+y = x+3y
2x = y
So,
Ratio of Total Vol 1 : Total Vol 2 =
6x / 4y = 6x / 4(2x) = 6/8 = 3/4.
Hence, Ans is Option D
Intern
Joined: 21 Sep 2016
Posts: 29
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

05 Sep 2017, 19:04
1
Gnpth wrote:
Two liquids A and B are in the ratio 5:1 in container 1 and in the ratio 1:3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1:1?

(A) 2:3
(B) 4:3
(C) 3:2
(D) 3:4
(E) 1:1

Source: Aristotle.

A in container 1 represents 5/6 of its entire content. In the same way, A represents 1/4 of the content of container 2.

Now we want both A and B to represent each 1/2 of the new container (let's call it H).

So, for container 1 let's call the proportion of liquid A "x" and "y" for the other container, being y = 1 - x

We'll have: 5/6*x + 1/4*(1-x) = 1/2

If you solve it, you'll get: x = 3/7.

This means that liquid A from container 1 will occupy 3/7 of the total amount of liquid A in H. Liquid A from container 2 will occupy 4/7.

The same will happen with liquid B (1/2 * 3/7 + 3/4 * 4/7 = 1/2).

VP
Status: Learning
Joined: 20 Dec 2015
Posts: 1039
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

05 Sep 2017, 20:43
Let the quantity of container 1 be x and container 2 be y
Then quantity of A in container 1 =5/6*X
Quantity of A in container 2= 1/4*x
Now we are given that the ratio of these two liquids in mixture is 1:1
Now we can set up the equation as
5/6*x +1/4*y =1/2(x+y)
20x+6y=24/2(x+y)
8x=6y
x/y=3/4
Hence D

Sent from my ONE E1003 using GMAT Club Forum mobile app
_________________

Non-Human User
Joined: 09 Sep 2013
Posts: 9862
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

10 Oct 2018, 22:14
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: Two liquids A and B are in the ratio 5:1 in container 1 and in the   [#permalink] 10 Oct 2018, 22:14
Display posts from previous: Sort by