Uva@90 wrote:In an election how many votes are cast.
1. the winning candidate gets 54% of the total votes
2. the winning candidate wins by 800
Now let's assume that there are only
2 candidates.
Target question:
How many votes are cast?
Let W = # of votes cast for the winner
Let L = # of votes cast for the loser
Rephrased target question:
What is the value of W + L?
Statement 1: The winning candidate gets 54% of the total votes
So, W = 54% of total votes cast
Since W + L = total votes cast, we can write the equation:
W = 0.54(W + L)
Does this provide enough information to find the value of
W + L?
No.
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: The winning candidate wins by 800
In other words, W = L + 800
Does this provide enough information to find the value of
W + L?
No.
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined:
From statement 1, we know that W = 0.54(W + L)
From statement 2, we know that W = L + 800
Since we have two different linear equations, we
could solve this system for W and L, which means
we definitely could find the value of W + L
Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer =
C
Cheers,
Brent