Bunuel wrote:
Let \(\frac{x}{y} + \frac{w}{z} = 2\). Then the value of \(\frac{y}{x} + \frac{z}{w}\) is
(A) 1/2
(B) 3/4
(C) 1
(D) 5
(E) It cannot be determined from the information given.
A fast approach is to identify values for w, x, y and z that satisfy the given equation, \(\frac{x}{y} + \frac{w}{z} = 2\)
One set of values is w = 1, x = 1, y = 1 and z = 1
Now plug these values into the target expression.
We get: \(\frac{y}{x} + \frac{z}{w} = \frac{1}{1} + \frac{1}{1}\)
\(= 1 + 1\)
\(= 2\)
Since 2 is not among the first four answer choices, the correct answer must be ....
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