Bunuel
How many pairs of shoes does Eileen have?
(1) If Eileen had 8 more pairs, she would have three times as many as she actually has.
(2) If Eileen acquires one more pair, the number of pairs she has will increase by 25 percent.
Target question: How many pairs of shoes does Eileen have? Statement 1: If Eileen had 8 more pairs, she would have three times as many as she actually has. Let x = the number of pairs of shoes Eileen CURRENTLY has
From the given information, we can write x + 8 = 3x
Solve to get: x = 4
So,
Eileen owns 4 pairs of shoesSince we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: If Eileen acquires one more pair, the number of pairs she has will increase by 25 percent Let x = the number of pairs of shoes Eileen CURRENTLY has
From the given information, we can write x + 1 = x + (25% more than x)
Rewrite as: x + 1 = x + 0.25x
Or: x + 1 = 1.25x
Subtract x from both sides: 1 = 0.25x
Solve to get: x = 4
So,
Eileen owns 4 pairs of shoesSince we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent