a sum of $1300 is divided among p,q,r and ,s such that $$\frac{p's\ share}{q's\ share}=\frac{q's\ share}{r's\ share}=\frac{r's\ share}{s's\ share}=\frac{2}{3}$$ . Then p's share is
A $140
B $160
C $ 240
D $ 320
E $325
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vaibhav101
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Sionainn@PrincetonReview
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While you can solve this algebraically using the system of equations (3p = 2q, 3q = 2r, 3r = 2s and p + q + r + s = 1300), because of the time restrictions on the test this one works well for plugging in the answers. Start with the middle choice and assume p = 240. If p = 240, then q = 360, r = 540 ans s = 810. However the total of these values is greater than 1300, so this answer is not correct. Try a smaller number. If p = 160, q = 240, r = 360 and s = 540. In this case p + q + r + s does equal 1300, so this is the answer. The answer is choice B.
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Sionainn
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Sionainn
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Instructor, tutor for Princeton Review and Airbnb host
In other words a blend of Jamie Escalante from Stand and Deliver, Julie from The Love Boat, and Schneider the Super from One Day at a Time.
Curious How You'll Score? Take a FREE GMAT® practice test or sample class
Ready to Prep? Exclusive discounts for Beat The GMAT® members HERE
