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If r, s, and w are positive numbers such that x = 60r + 80s and r + s = 1, is x < 70 ?

(1) r > 0.5 (2) r > s

x = 60r + 80s x = 60r + 60s + 20s x = 60 (r + s) + 20s x = 60 + 20s

is s <0.5?

E. will explain later as well.

a quick question: what is the use of W?

Thanks GMAT TIGER ... I did not rephrase the question, thats why I had problem

The question says --- r,s are Positive numbers

The question boils down to "is s <0.5?" as you showed....

(1) r > 0.5 if r + s = 1, then most definitely r and s have to be less than 1. if r = 0.6 then s = 0.4 and s < 1 even if r = 0.9, s will be 0.1 and s< 1 .... sufficient

(2) r > s if r + s = 1, then most definitely r and s have to be less than 1. if r = 0.6 then s = 0.4 and s < 1 even if r = 0.9, s will be 0.1 and s< 1 .... sufficient

Thence D
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

If r, s, and w are positive numbers such that x = 60r + 80s and r + s = 1, is x < 70 ?

(1) r > 0.5 (2) r > s

x = 60r + 80s x = 60r + 60s + 20s x = 60 (r + s) + 20s x = 60 + 20s

is s <0.5?

E. will explain later as well.

a quick question: what is the use of W?

Thanks GMAT TIGER ... I did not rephrase the question, thats why I had problem

The question says --- r,s are Positive numbers

The question boils down to "is s <0.5?" as you showed....

(1) r > 0.5 if r + s = 1, then most definitely r and s have to be less than 1. if r = 0.6 then s = 0.4 and s < 1 even if r = 0.9, s will be 0.1 and s< 1 .... sufficient

(2) r > s if r + s = 1, then most definitely r and s have to be less than 1. if r = 0.6 then s = 0.4 and s < 1 even if r = 0.9, s will be 0.1 and s< 1 .... sufficient

Thence D

Since r + s = 1, (1) r > 0.5 and (2) r > s, what the **** I was looking for?

I completely forgot (r + s) = 1 after rephrasing.

Sorry guys, I am on break for a while for those silly mistakes..
_________________