Hi All,
We're told that Jack picked 76 apples - and of these, he sold 4Y apples to Juanita and 3T apples to Sylvia (and T and Y are positive integers.) and kept the remaining apples. We're asked for the number of apples that he kept. To answer this question, we'll need to know the values of T and Y. This question can be solved with Arithmetic and TESTing VALUS.
(1) Y ≥ 15 and T = 2
IF....
Y=15 and T = 2, then Jack sold (4)(15) + (3)(2) = 66 applies, so the answer to the question is 76 - 66 = 10
Y=16 and T = 2, then Jack sold (4)(16) + (3)(2) = 70 applies, so the answer to the question is 76 - 70 = 6
Fact 1 is INSUFFICIENT
(2) Y = 17
Fact 2 clearly tells us nothing about the value of T....
IF....
Y=17 and T = 1, then Jack sold (4)(17) + (3)(1) = 71 applies, so the answer to the question is 76 - 71 = 5
Y=17 and T = 2, then Jack sold (4)(17) + (3)(2) = 74 applies, so the answer to the question is 76 - 74 = 2
Fact 2 is INSUFFICIENT
Combined, we know...
Y ≥ 15 and T = 2
Y = 17
By combining the information in both Facts, we know the exact values of Y and T, so we can answer the question that's asked.
Y=17 and T = 2, so Jack sold (4)(17) + (3)(2) = 74 applies, so the answer to the question is 76 - 74 = 2
Combined, SUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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