Bunuel wrote:

If p, r, s, and t are nonzero integers, is p/r = s/t ?

(1) s = 3p and t = 3r.

(2) 3p = 2r and 3s = 2t.

Target question: Is p/r = s/t? Statement 1: s = 3p and t = 3r Divide the first equation by the second equation to get: s/t = 3p/3r

Simplify right side to get:

s/t = p/r Since we can answer the

target question with certainty, statement 1 is SUFFICIENT

Statement 2: 3p = 2r and 3s = 2tGiven: 3p = 2r

Divide both sides by r to get: 3p/r = 2

Divide both sides by 3 to get: p/r = 2/3

Given: 3s = 2t

Divide both sides by t to get: 3s/t = 2

Divide both sides by 3 to get: s/t = 2/3

Since p/r and s/t both equal 2/3, we can conclude that

p/r = s/tSince we can answer the

target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,

Brent

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Brent Hanneson – Founder of gmatprepnow.com