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

 It is currently 11 Dec 2018, 03:37

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# A mixture of sugar and water contains sugar and water in the ratio of

Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Nov 2018
Posts: 2
A mixture of sugar and water contains sugar and water in the ratio of  [#permalink]

### Show Tags

28 Nov 2018, 07:12
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:42) correct 36% (00:57) wrong based on 56 sessions

### HideShow timer Statistics

A mixture of sugar and water contains sugar and water in the ratio of 3 : 2. Another mixture
of sugar and water contains sugar and water in the ratio 2 : 5. In what ratio should the two
mixtures be mixed so that the resulting mixture contains equal proportion of sugar and water?

A. 2 : 1
B. 3 : 1
C. 3 : 2
D. 4 : 1
E. None of these
Intern
Joined: 30 May 2017
Posts: 12
Re: A mixture of sugar and water contains sugar and water in the ratio of  [#permalink]

### Show Tags

28 Nov 2018, 07:42
1
1
V1 - First mixture
V2 - Second mixture

Sugar = water in the final mixture
3/5V1+2/7V2=2/5V1+5/7V2
1/5V1=3/7V2
V1/V2= 15/7 which doesn't correspond to any of the solutions presented, so the answer must be E)
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3325
Location: India
GPA: 3.12
A mixture of sugar and water contains sugar and water in the ratio of  [#permalink]

### Show Tags

28 Nov 2018, 09:29
bryton wrote:
A mixture of sugar and water contains sugar and water in the ratio of 3 : 2. Another mixture
of sugar and water contains sugar and water in the ratio 2 : 5. In what ratio should the two
mixtures be mixed so that the resulting mixture contains equal proportion of sugar and water?

A. 2 : 1
B. 3 : 1
C. 3 : 2
D. 4 : 1
E. None of these

Assume both the solutions to be 70 ml.

The mixture in ratio 3:2 -> 42:28 (sugan to water)
The mixture in ratio 2:5 -> 20:50 (sugan to water)

Since water and sugar must be in the same ratio in the resulting mixture the quantity of
sugar must be equal to quantity of sugar $$42x + 20y = 28x + 50y$$ -> $$14x = 30y$$

Therefore, the ratio in which the mixtures are to be added is $$\frac{x}{y} = \frac{15}{7}$$(Option E)
_________________

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

Intern
Joined: 07 Apr 2014
Posts: 1
Re: A mixture of sugar and water contains sugar and water in the ratio of  [#permalink]

### Show Tags

03 Dec 2018, 23:41
I’ve used two methods to solve this, and I wanted to know why I am getting different answers. One method uses what has been shown above, which gives an answer of 15/7, and thus option E. The other is below.

2nd method:

The first mixture is in the ratio 3:2. Assuming 3kg of sugar in 2L of water. If you take 3 times that mixture, you get 9kg of sugar in 6L of water (the mixture ratio integrity is still maintained)

Adding that to the second mixture containing 2kg of sugar in 5L of water (mixture ratio of 2:5 maintained), we get a resulting solution that contains 9+2 =11kg of sugar in 6+5 =11L of water.

That is, equal portions of sugar and water. Therefore getting answer as B (3:1).

If this is wrong, I feel like i’m making a silly mistake somewhere because none of the ratio integrities are being broken.

Can anyone help?

Thanks!

Posted from my mobile device
Intern
Joined: 06 Apr 2018
Posts: 14
Location: India
WE: Information Technology (Computer Software)
A mixture of sugar and water contains sugar and water in the ratio of  [#permalink]

### Show Tags

05 Dec 2018, 18:33
Hey, can anyone say why below method is getting the wrong answer ??

I verified from options.

option B:- 3:1 which is 3 parts of mixture1 and 1 part of mixture2.

3(3:2) : 1(2:5) = mix1(9:6) : mix2(2:5) = 11 parts of sugar and 11 parts of water.

OA:- option E:- 4:1 which is 4 parts of mixture1 and 1 part of mixture2.

4(3:2) : 1(2:5) = mix1(12:8) : mix2(2:5) = 14 parts of sugar and 13 parts of water.
A mixture of sugar and water contains sugar and water in the ratio of &nbs [#permalink] 05 Dec 2018, 18:33
Display posts from previous: Sort by