An alternate way to consider this problem is to recognize that the answer choices are all just numbers, which means that you will be able to manipulate the equations so that all are using the same variable, and then cancel them out.

If we multiply the left equation by x on both sides, we get:
w = 2/3 x

If we multiply the right equation by y on both sides, we get:
w = 8/15 y

The right sides of each equation must be equal to each other, as they are equal to w:
2/3 x = 8/15 y

We can now solve for x in terms of y:
x = 3/2 * 8/15 y
x = 4/5 y

And substitute:
(x+y)/y
(4/5 y + y)/y
(9/5 y)/y
9/5

-Jordan Wolbrum

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.