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# Solution Y is 30 percent liquid X and 70 percent water. If 2

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Solution Y is 30 percent liquid X and 70 percent water. If 2 [#permalink]

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29 Jan 2007, 10:51
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1.Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?

(A) 30%
(B) 33.33%
(C) 37.5%
(D) 40%
(E) 50%

2.If r☉s = rs + r + s, then for what value of s is r ☉s equal to r for all values of r?

(A) â€“1 (B) 0 (C) 1
(D) 1/(r+1) (E) r
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Joined: 05 Jul 2006
Posts: 1512
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29 Jan 2007, 11:30
1.Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?

(A) 30%
(B) 33.33%
(C) 37.5%
(D) 40%
(E) 50%

8KG Y = 5.6 WATER + 2.4 X

AFTER EVAPORATION

3.6 WATER + 2.4X..................1

2KG Y = 1.4 WATER + 0.6X.............2

ADD ONE AND TWO

5WATER + 3X

X CONCENTRATION = 3/8*100 = 37.5 %

2.If r☉s = rs + r + s, then for what value of s is r ☉s equal to r for all values of r?

(A) â€“1 (B) 0 (C) 1
(D) 1/(r+1) (E) r

FOR

RS+R+S = R

IE: RS+S = 0

S(R+1) = 0

EITHER S = 0 OR R = -1

B IS MY ANSWER
Director
Joined: 10 Oct 2005
Posts: 720
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31 Jan 2007, 04:04
yogeshsheth wrote:
yezz wrote:
1.Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?

(A) 30%
(B) 33.33%
(C) 37.5%
(D) 40%
(E) 50%

8KG Y = 5.6 WATER + 2.4 X

AFTER EVAPORATION

3.6 WATER + 2.4X..................1

2KG Y = 1.4 WATER + 0.6X.............2

ADD ONE AND TWO

5WATER + 3X

X CONCENTRATION = 3/8*100 = 37.5 %

Agree with C

2.If r☉s = rs + r + s, then for what value of s is r ☉s equal to r for all values of r?

(A) –1 (B) 0 (C) 1
(D) 1/(r+1) (E) r

FOR

RS+R+S = R

IE: RS+S = 0

S(R+1) = 0

EITHER S = 0 OR R = -1

B IS MY ANSWER
You mean A right?

I think that yezz is right B it is)
Maybe you misread the question))?
then for what value of s
we need s not r
_________________

IE IMBA 2010

[#permalink] 31 Jan 2007, 04:04
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# Solution Y is 30 percent liquid X and 70 percent water. If 2

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