It is currently 17 Oct 2017, 08:38

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A person mixed three varieties of tea priced at $120 per pound, $135

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128551 [0], given: 12180

A person mixed three varieties of tea priced at $120 per pound, $135 [#permalink]

Show Tags

New post 03 Jul 2017, 12:05
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

54% (01:39) correct 46% (01:26) wrong based on 102 sessions

HideShow timer Statistics

A person mixed three varieties of tea priced at $120 per pound, $135 per pound and $160 per pound. In what ratio did he mix the three varieties of tea?

(1) The price of the mix was $135 per pound.
(2) Only 3 pounds of the variety priced at $135 per pound was used.
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128551 [0], given: 12180

1 KUDOS received
BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1449

Kudos [?]: 591 [1], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
A person mixed three varieties of tea priced at $120 per pound, $135 [#permalink]

Show Tags

New post 03 Jul 2017, 12:32
1
This post received
KUDOS
1
This post was
BOOKMARKED
(1) The price of the mix was $135 per pound.
Mixing 10 portions of the first variety(costing 120$), 2 portions of second variety(costing 135$) and 6 portions of third variety(costing 160$), will yield a mix priced at 135$
Ratio is 10 : 2 : 6(5:1:3)
Mixing 10 portions of the first variety(costing 120$), 4 portions of second variety(costing 135$) and 6 portions of third variety(costing 160$), will yield a mix priced at 135$
Ratio is 10 : 4 : 6(5:2:3)
Hence, insufficient.

(2) Only 3 pounds of the variety priced at $135 per pound was used.
How many pounds of variety priced at $135 was used, cannot give us the ratio in which the three varieties were mixed.(Insufficient)

On combining the information from both the statements,
we still cannot find out the ratio(unique in nature)
Mixing 10 portions of the first variety(costing 120$), 3 portions of second variety(costing 135$) and 6 portions of third variety(costing 160$), will yield a mix priced at 135$
Ratio is 10 : 3 : 6
Mixing 20 portions of the first variety(costing 120$), 3 portions of second variety(costing 135$) and 12 portions of third variety(costing 160$), will yield a mix priced at 135$
Ratio is 20 : 3 : 12 (Insufficient) (Option E)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 591 [1], given: 16

Manager
Manager
User avatar
B
Joined: 23 May 2017
Posts: 157

Kudos [?]: 52 [0], given: 7

Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: A person mixed three varieties of tea priced at $120 per pound, $135 [#permalink]

Show Tags

New post 03 Jul 2017, 12:35
1st Tea = $ 120 = a pounds mixed
2nd Tea = $ 135 = b pounds mixed
3rd Tea = $ 160 = c pounds mixed

(1) The price of the mix was $135 per pound.

= \(\frac{120a + 135b + 160c}{(a + b + c)}\) = $135 : Not sufficient

(2) Only 3 pounds of the variety priced at $135 per pound was used.

b = 3 ; = \(\frac{120a + 135 * 3 + 160c}{(a + b + c)}\) : Not sufficient

[1] + [2]

=> \(\frac{120a + 135 * 3 + 160c}{(a + b + c)}\) = $135 :
=>120 a + 135 * 3 + 160c = 135a + 135 * 3 + 135c
=> 25 c = 15 a
=> 5c = 3a

still we do not know the relatioship between a & b or b & c

hence E
_________________

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

Kudos [?]: 52 [0], given: 7

Manager
Manager
User avatar
B
Joined: 03 May 2017
Posts: 92

Kudos [?]: 15 [0], given: 13

Re: A person mixed three varieties of tea priced at $120 per pound, $135 [#permalink]

Show Tags

New post 03 Jul 2017, 12:51
Bunuel wrote:
A person mixed three varieties of tea priced at $120 per pound, $135 per pound and $160 per pound. In what ratio did he mix the three varieties of tea?

(1) The price of the mix was $135 per pound.
(2) Only 3 pounds of the variety priced at $135 per pound was used.


(1) New, but insufficient information
(2) New, but insufficient information

(1) and (2)
2 new information, left with 2 unrelated variables and a constant. Hence insufficient and E.

Kudos [?]: 15 [0], given: 13

1 KUDOS received
Senior Manager
Senior Manager
User avatar
G
Joined: 06 Jul 2016
Posts: 412

Kudos [?]: 115 [1], given: 99

Location: Singapore
Concentration: Strategy, Finance
GMAT ToolKit User Premium Member CAT Tests
Re: A person mixed three varieties of tea priced at $120 per pound, $135 [#permalink]

Show Tags

New post 03 Jul 2017, 13:02
1
This post received
KUDOS
Bunuel wrote:
A person mixed three varieties of tea priced at $120 per pound, $135 per pound and $160 per pound. In what ratio did he mix the three varieties of tea?

(1) The price of the mix was $135 per pound.
(2) Only 3 pounds of the variety priced at $135 per pound was used.


Tea A = $120 per round
Tea B = $135 per round
Tea C = $160 per round
Tea N = A + B + C
A:B:C = ?

1) Price of Tea N = $135
(120a+135b+160c)/(a+b+c)= 135
Insufficient. Multiple values possible.

2) B = 3 pounds
No relation to A or C. Insufficient.

(1+2)
(120a+405+160c) / (a+3+c) = 135
a:c = 5:3 but we do not know the relationship with B.
Insufficient.
Hence should be E.
_________________

Put in the work, and that dream score is yours!

Kudos [?]: 115 [1], given: 99

Manager
Manager
avatar
B
Joined: 13 Apr 2017
Posts: 84

Kudos [?]: 11 [0], given: 30

Location: India
Concentration: General Management, International Business
GMAT 1: 660 Q40 V41
GPA: 3.4
WE: Engineering (Energy and Utilities)
Re: A person mixed three varieties of tea priced at $120 per pound, $135 [#permalink]

Show Tags

New post 21 Aug 2017, 09:22
Bunuel wrote:
A person mixed three varieties of tea priced at $120 per pound, $135 per pound and $160 per pound. In what ratio did he mix the three varieties of tea?

(1) The price of the mix was $135 per pound.
(2) Only 3 pounds of the variety priced at $135 per pound was used.


Tea A = x pounds
Tea B = y pounds
Tea C = z pounds

We need to find x:y:z

(1) ((120*x + 135*y + 160*z) / (x+y+z) ) = 135
Insufficient

(2) z=3
Insufficient

(1) + (2)
Put z=3 in the weighted average formula above.
Insufficient

Ans. E

Kudos [?]: 11 [0], given: 30

Re: A person mixed three varieties of tea priced at $120 per pound, $135   [#permalink] 21 Aug 2017, 09:22
Display posts from previous: Sort by

A person mixed three varieties of tea priced at $120 per pound, $135

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.