OE
[STEP 1] Analyze the centered information and the quantities.
In this problem, there are four variables: w, x, y, and z. You are asked to compare the values of the sums of pairs of variables. You know the relative values of the different variables, but you don’t know the actual amounts. You do know that two of the variables (w and x) must be positive and two of the variables (y and z) must be negative numbers.
[STEP 2] Approach strategically.
In this case, think about the different sums as pieces of the whole. If every “piece” in one quantity is greater than a corresponding “piece” in the other quantity and if the only operation involved is addition, then the quantity with the greater individual values will have the greater total value. From the given information, we know the following:
w > x
y > z
The first term, w, in Quantity A is greater than the first term, x, in Quantity B. Similarly, the second term, y, in Quantity A is greater than the second term, z, in Quantity B. Because each piece in Quantity A is greater than the corresponding piece in Quantity B, Quantity A must be greater; the answer is (A).
Answer: A