Bunuel wrote:
In a recent town election, what was the ratio of the number of votes in favor of a certain proposal to the number of votes against the proposal?
(1) There were 60 more votes in favor of the proposal than against the proposal.
(2) There were 240 votes in favor of the proposal.
Let F = the number of votes in FAVOR of the proposal
Let A = the number of votes AGAINST the proposalTarget question: What is the value of F/A? Statement 1: There were 60 more votes in favor of the proposal than against the proposal. In other words,
F = A + 60Let's TEST some values.
There are several values of F and A that satisfy the equation
F = A + 60. Here are two:
Case a: F = 70 and A = 10. In this case, the answer to the target question is
F/A = 70/10Case b: F = 80 and A = 20. In this case, the answer to the target question is
F/A = 80/20Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: There were 240 votes in favor of the proposal.In other words, F = 240
Since we have no information about the number of votes AGAINST the proposal (i.e., the value of A), we cannot answer the
target question.
So, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 1 tells us that
F = A + 60Statement 2 tells us that
F = 240When we use BOTH statements, we can conclude that A = 180 (and F = 240)
So, the answer to the target question is
F/A = 240/180Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
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