It is currently 23 Sep 2017, 16:50

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 tiara is studded with a mixture of gems. The ratio of sapphires to

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

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41698

Kudos [?]: 124659 [1], given: 12079

A tiara is studded with a mixture of gems. The ratio of sapphires to [#permalink]

Show Tags

New post 16 Aug 2017, 01:57
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:54) correct 23% (01:14) wrong based on 37 sessions

HideShow timer Statistics

A tiara is studded with a mixture of gems. The ratio of sapphires to emeralds is 3:1. If 6 emeralds are added, the tiara will contain an equal number of sapphires and emeralds. How many emeralds must be added to the original tiara so that the ratio between emeralds and sapphires is 3:1?

(A) 9

(B) 12

(C) 18

(D) 24

(E) 27
[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 [?]: 124659 [1], given: 12079

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1337

Kudos [?]: 528 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Re: A tiara is studded with a mixture of gems. The ratio of sapphires to [#permalink]

Show Tags

New post 16 Aug 2017, 06:52
Let the sapphires be S and emeralds be E, S:E = 3:1
If 6 emeralds are added, the number of sapphires = number of emeralds.
3x = x+6 => x =3
Therefore, initially the tiara contains 9 sapphires and 3 emeralds.

Now, we need to add emeralds, such that the ratio of emeralds to sapphires becomes 3:1
So, since we have 9 sapphires, we must have 27 emeralds.
Since we already have 3 emeralds, we need 24 more emeralds(Option D)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

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

Kudos [?]: 528 [0], given: 16

Director
Director
avatar
G
Joined: 22 May 2016
Posts: 655

Kudos [?]: 191 [0], given: 499

A tiara is studded with a mixture of gems. The ratio of sapphires to [#permalink]

Show Tags

New post 16 Aug 2017, 08:50
Bunuel wrote:
A tiara is studded with a mixture of gems. The ratio of sapphires to emeralds is 3:1. If 6 emeralds are added, the tiara will contain an equal number of sapphires and emeralds. How many emeralds must be added to the original tiara so that the ratio between emeralds and sapphires is 3:1?

(A) 9

(B) 12

(C) 18

(D) 24

(E) 27

Two stages, because there are little twists IMO:

1. Original ratio of sapphires to emeralds is 3:1

\(\frac{S}{E}\) = \(\frac{3x}{x}\)

If 6 emeralds are added, ratio is \(\frac{1}{1}\)

\(\frac{3x}{(x+6)}\) = \(\frac{1}{1}\)

3x = x + 6
2x = 6
x = 3, which is the multiplier for the original ratio.

There are 3x or (3*3) = 9 sapphires and x or (1*3) = 3 emeralds in the tiara

2. How many emeralds must be added to the tiara to make the ratio of emeralds to sapphires 3:1?

We need \(\frac{S}{E}\) = \(\frac{1}{3}\)

\(\frac{9}{(3 + x)}\) = \(\frac{1}{3}\)

3 + x = 27
x = 24

Check the numbers. There are 9 sapphires. There are 3 emeralds; 24 have been added. There are now 27 emeralds.

\(\frac{S}{E}\)= \(\frac{9}{27}\) = \(\frac{1}{3}\)

Correct. Answer D

Kudos [?]: 191 [0], given: 499

A tiara is studded with a mixture of gems. The ratio of sapphires to   [#permalink] 16 Aug 2017, 08:50
Display posts from previous: Sort by

A tiara is studded with a mixture of gems. The ratio of sapphires to

  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®.