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a certain coffee

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by sanju09 » Sat Apr 11, 2009 4:24 am
One kilogram of a certain coffee blend consists of X kilogram of type I and Y kilogram of type II. The cost of the blend is C dollars per kilogram, where C = 6.5 X + 8.5 Y. Is X < 0.8?

(1) Y > 0.15.

(2) C &#8805;7.30.



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Re: a certain coffee

by sacx » Mon Apr 13, 2009 5:26 am
where am I going wrong?

Stmt I

does not provide any information on X or C

Insuff

Stmt II

C &#8805;7.30, we can have multiple values of X and Y

Insuff

Stmt I & II,

Y > 0.15 and C &#8805;7.30, again can have multiple values of X and Y

[spoiler]Insuff

E[/spoiler]
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by sanju09 » Mon Apr 13, 2009 5:50 am
"one kilogram of a certain coffee blend consists of X kilogram of type I and Y kilogram of type II" means that X + Y = 1

Combined C = 6.5 X + 8.5 Y, we get:

X = (8.5 - C)/2, Y = (C - 6.5)/2

Combined C &#8805; 7.3, X = (8.5 - C)/2 < 1.2/2 = 0.6
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