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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Ratio tagged by: vaibhav101 ##### This topic has 1 member reply ## Ratio ## 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 ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 786 messages Followed by: 1 members Top Reply 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. • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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