• 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

Ratio

This topic has 1 member reply

Ratio

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



A certain farm has group of sheep , some of which are Rams( males) and the rest ewes(females). The ratio of Rams to ewes on the farms is 4 to 5. The sheep are divided into 3 pens,each of which same number of sheep. If the ratio of Rams to ewes in the first pen is 4 to 11, and if the ratio of Rams to ewes is equal in the second and third pen, which of the following is the ratio of Rams in the third pen?

A 8/7
B 2/3
C 1/2
D3/12
E 1/6

  • +1 Upvote Post
  • Quote
  • Flag
Top Reply
Post
The ratio of rams to ewes on the farm is 4 to 5, hence we have;
Rams : Ewes = 4x : 5x
Total sheep = 9x
The sheep are divided into three pens, each of which contains the same number of sheep.
Therefore, each pen contains 3x sheep.
Ratio of rams to ewes in the first pen is 4 to 11,
That is 4y : 11y
Sheep in the first pen = 15y
Each pen contains 3x sheep,
Thus, 3x = 15y
x = 5y
From ram : ewes as 4x : 5x (substituting)(x = 5y)
= 4 (5y) : 5 (5y)
= 20y : 25y
Together in the second pen we have
20y - 4y = 16y rams and
25y - 11y = 14y ewes.
So 8y rams and 7y ewes in each.
In the ratio 8y : 7y
$$=\ 8\ :\ 7\ =\ \frac{8}{7}$$
Option A is CORRECT.

  • +1 Upvote Post
  • Quote
  • Flag
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • 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
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • 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
  • 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
  • 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

Top First Responders*

1 Jay@ManhattanReview 67 first replies
2 Brent@GMATPrepNow 53 first replies
3 fskilnik@GMATH 49 first replies
4 GMATGuruNY 32 first replies
5 Rich.C@EMPOWERgma... 29 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 fskilnik@GMATH

GMATH Teacher

107 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

99 posts
3 image description Max@Math Revolution

Math Revolution

90 posts
4 image description Jay@ManhattanReview

Manhattan Review

78 posts
5 image description GMATGuruNY

The Princeton Review Teacher

77 posts
See More Top Beat The GMAT Experts