GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 03 Aug 2020, 10:05

### 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

# In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.5

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 65764
In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.5  [#permalink]

### Show Tags

27 Mar 2020, 03:35
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:09) correct 17% (01:15) wrong based on 71 sessions

### HideShow timer Statistics

In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.50 per kg to produce a mixture worth \$8.50 per kg?

A. 1 : 2
B. 2 : 1
C. 1 : 1
D. 2 : 3
E. 2 : 5

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 6502
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.5  [#permalink]

### Show Tags

28 Mar 2020, 06:50
1
1
Bunuel wrote:
In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.50 per kg to produce a mixture worth \$8.50 per kg?

A. 1 : 2
B. 2 : 1
C. 1 : 1
D. 2 : 3
E. 2 : 5

use allegation method
we get
7.5------- 10.5
---- (8.5)-----
2 ------ 1
IMO B
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3440
Re: In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.5  [#permalink]

### Show Tags

29 Mar 2020, 06:37
1

Solution

Given
In this question, we are given that
• Two types of tea, priced at \$7.50 per kg and \$10.50 per kg are to be mixed

To find
We need to determine
• In what proportion the teas should be mixed so that the resultant mixture costs \$8.50 per kg

Approach and Working out
If we mix at the ratio x: y, we get
• 7.5x + 10.5y = 8.5 (x + y)
Or, x = 2y
Or, x/y = 2/1

Thus, option B is the correct answer.

_________________
GMAT Club Legend
Status: GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator l A learner forever :)
Joined: 08 Jul 2010
Posts: 4511
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Re: In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.5  [#permalink]

### Show Tags

29 Mar 2020, 07:27
1
Bunuel wrote:
In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.50 per kg to produce a mixture worth \$8.50 per kg?

A. 1 : 2
B. 2 : 1
C. 1 : 1
D. 2 : 3
E. 2 : 5

7.5*x + 10.5*y = 8.5*(x+y)

i.e. x = 2y

i.e. x:y = 2:1

_________________
Prepare with PERFECTION to claim Q≥50 and V≥40 !!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
One-on-One Skype classes l Classroom Coaching l On-demand Quant course l Admissions Consulting

Most affordable l Comprehensive l 2000+ Qn ALL with Video explanations l LINK: Courses and Pricing
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
FREE GMAT Resource: 22 FREE (FULL LENGTH) GMAT CATs LINKS l NEW OG QUANT 50 Qn+VIDEO Sol.
Intern
Joined: 11 Mar 2020
Posts: 13
Location: Italy
GPA: 4
WE: Project Management (Manufacturing)
In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.5  [#permalink]

### Show Tags

29 Mar 2020, 01:43
Archit3110 wrote:
Bunuel wrote:
In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.50 per kg to produce a mixture worth \$8.50 per kg?

A. 1 : 2
B. 2 : 1
C. 1 : 1
D. 2 : 3
E. 2 : 5

use allegation method
we get
7.5------- 10.5
---- (8.5)-----
2 ------ 1
IMO B

Hello my friend,
you made the right choice but, in my opinion, there is also an easier solution!
Considering our empirical data, it is easy to understand that the quantity of "low quality" tea must be higher than the quantity of the "high quality" one.
Thus, the only possible choice is B, offering a ratio of 2:1
In what proportion must tea at \$7.50 per kg be mixed with tea at \$10.5   [#permalink] 29 Mar 2020, 01:43