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

 It is currently 13 Dec 2019, 06:05

### 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

# 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: 1097
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, 13:42
1
1
Top Contributor
13
00:00

Difficulty:

65% (hard)

Question Stats:

63% (02:14) correct 37% (02:34) wrong based on 202 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.

_________________
Become a GMAT Club Premium member to unlock discounts

MBA, Class of 2020,
Manager
Joined: 01 Feb 2017
Posts: 248
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

26 Jul 2017, 14:52
6
3
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
##### General Discussion
Manager
Joined: 23 May 2017
Posts: 231
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, 15:16
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

$$\frac{x}{y}$$ = $$\frac{3}{4}$$
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3305
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, 22:40
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: 47
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

22 Jul 2017, 23:08
3

Sent from my HTC Desire 816G dual sim using GMAT Club Forum mobile app
Intern
Joined: 21 Sep 2016
Posts: 28
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

05 Sep 2017, 20:04
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: 1051
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, 21:43
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
Intern
Joined: 01 Jul 2018
Posts: 20
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the  [#permalink]

### Show Tags

19 Apr 2019, 09:45
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?

shortest method

Container 1, proportion of A = 5/6
Container 2, proportion of A = 1/4
Total proportion of A once Container 1 and 2 are mixed = 1/2

Weighted avg of W1/W2 = (1/4 - 1/2) / (1/2 - 5/6) = 3/4

So the contents of both containers should be mixed in the proportion 3:4 in order to reach the desired total ratio

IMO: D

cheeeers
Re: Two liquids A and B are in the ratio 5:1 in container 1 and in the   [#permalink] 19 Apr 2019, 09:45
Display posts from previous: Sort by