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r+s = 1, then w = 60r + 80(1-r), w = 60r + 80 - 80r = w = 80-20r. In order for w to be greater than 70, it must be 71. So plug this in: 71 = 80 - 20r and r = 9/20. This value is less than 1/2. So if r is always greater than 1/2, w will always be less than 70. (1) is sufficient.

Statment (2) is a little contradicting. It says r>s, but we also know r and s are positive integers. Yet, r+s must be equal to 1. If so, s must be 0 but 0 is neither positive or negative. So i'm not too clear about (2).

r+s = 1, then w = 60r + 80(1-r), w = 60r + 80 - 80r = w = 80-20r. In order for w to be greater than 70, it must be 71. So plug this in: 71 = 80 - 20r and r = 9/20. This value is less than 1/2. So if r is always greater than 1/2, w will always be less than 70. (1) is sufficient.

Statment (2) is a little contradicting. It says r>s, but we also know r and s are positive integers. Yet, r+s must be equal to 1. If so, s must be 0 but 0 is neither positive or negative. So i'm not too clear about (2).

A is my answer.

r > s

r+s = 1, so r and s could be (.9,.1) (.8,.2), (.7,.3), (.6,.4)
For each of these sets, w = 60r+80s gives 62, 64, 66, 68 all of which is less than 70.

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