BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

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

by BTGmoderatorDC » Thu Jan 09, 2020 7:06 pm
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




OA D

Source: Magoosh
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Thu Jan 09, 2020 9:17 pm
BTGmoderatorDC 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

OA D

Source: Magoosh
Given the ratio of sapphires to emeralds is 3 : 1. Say there are 3x sapphires and x emeralds in the original tiara.

Thus, after the addition of 6 emeralds, we have 3x = x + 6 => x = 3. Thus, in the original tiara, there are 9 sapphires and 3 emeralds.

Say y emeralds were added such that the ratio between emeralds and sapphires is 3 : 1.

Thus, (3 + y)/9 = 3/1 => y = 24

The correct answer: D

Hope this helps!

-Jay
_________________
Manhattan Review

Locations: Manhattan Review Visakhapatnam | GMAT Prep Warangal | GRE Prep Dilsukhnagar | Begumpet GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
Post new topic Post Reply
• Page 1 of 1