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# One kilogram of a certain coffee blend consists of x

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Senior Manager
Joined: 05 Jun 2008
Posts: 304

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One kilogram of a certain coffee blend consists of x [#permalink]

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23 Nov 2008, 03:46
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One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y
kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C =
6.5x + 8.5y. Is x < 0.8?
(1) y > 0.15
(2) C >=7.30

Kudos [?]: 201 [0], given: 0

Manager
Joined: 08 Aug 2008
Posts: 229

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23 Nov 2008, 04:29
B.
$$x+y=1$$
$$6.5x + 8.5y>= 7.3$$...2eq can be solved for tentative value of x

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Senior Manager
Joined: 05 Jun 2008
Posts: 304

Kudos [?]: 201 [0], given: 0

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25 Nov 2008, 21:44
prasun84 wrote:
B.
$$x+y=1$$
$$6.5x + 8.5y>= 7.3$$...2eq can be solved for tentative value of x

Can pl explain, how we can solve for one value of x there can N no of value of X and Y which can satisfy the equation.

Kudos [?]: 201 [0], given: 0

VP
Joined: 05 Jul 2008
Posts: 1402

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25 Nov 2008, 21:50
2
KUDOS
vivektripathi wrote:
prasun84 wrote:
B.
$$x+y=1$$
$$6.5x + 8.5y>= 7.3$$...2eq can be solved for tentative value of x

Can pl explain, how we can solve for one value of x there can N no of value of X and Y which can satisfy the equation.

If you look at the Q, it asks whether x < 0.8 and not what is x?

If we start with 6.5x + 8.5 y = 7.3 and keep increasing the value of c to 8.5 we will see x decreasing from 0.6 to 0. Hence it is always less than 0.8. So sufficient. Was I clear?

Kudos [?]: 444 [2], given: 1

Re: DS   [#permalink] 25 Nov 2008, 21:50
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