• NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    Hundreds of Questions Highly Detailed Reporting Expert Explanations TAKE A FREE GMAT QUIZ
  • 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

A certain painting job requires a mixture of yellow, green,

This topic has 2 expert replies and 0 member replies

A certain painting job requires a mixture of yellow, green,

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed?

(1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.
(2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.

A

Source: Official Guide 2020

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
From Statement 1, 1/4 of the mixture is green paint, and since we know we have 12 quarts of paint in total, we must have 3 quarts of green paint. So Statement 1 is sufficient.

Statement 2 is not sufficient because we have no information about what fraction of the mixture is white paint.

_________________
If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Elite Legendary Member
Joined
23 Jun 2013
Posted:
10197 messages
Followed by:
496 members
Upvotes:
2867
GMAT Score:
800
Post
Hi All,

We're told that a certain painting job requires a mixture of yellow, green, and white paint and that 12 quarts of paint are needed for the job. We're asked for the number of quarts of GREEN paint that are needed. This question can be answered with ratio-based math and TESTing VALUES.

(1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.

With the information in Fact 1, we have the following relationship:
(Green) : (Yellow + White) = 1 : 3

This means that for every 1 quart of green paint, we have a total of 3 quarts of yellow and white paint, so we can think of this ratio in terms of '4 quart blocks'. With 12 total quarts, we would have 3 of those blocks - meaning that we have 3 quarts of green paint and 9 quarts of yellow+white paint. The actual amounts of yellow and white paint don't matter though, since we're asked for the amount of GREEN paint and we now know that the answer must be 3.
Fact 1 is SUFFICIENT

(2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.

Fact 2 gives us a different ratio, but not enough to determine the exact amount of green paint....
IF....
Yellow = 3 quarts, Green = 2 quarts and White = 7 quarts, then the answer to the question is 2.
Yellow = 6 quarts, Green = 4 quarts and White = 2 quarts, then the answer to the question is 4.
Fact 2 is INSUFFICIENT

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

  • +1 Upvote Post
  • Quote
  • Flag
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh

Top First Responders*

1 Brent@GMATPrepNow 39 first replies
2 Ian Stewart 37 first replies
3 Jay@ManhattanReview 32 first replies
4 GMATGuruNY 26 first replies
5 Scott@TargetTestPrep 17 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

188 posts
2 image description Max@Math Revolution

Math Revolution

84 posts
3 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

71 posts
4 image description Ian Stewart

GMATiX Teacher

45 posts
5 image description GMATGuruNY

The Princeton Review Teacher

45 posts
See More Top Beat The GMAT Experts