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08 Nov 2010, 14:02
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C
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Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?
A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%
PS20380
A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%
PS20380
06 Apr 2012, 13:19
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rovshan85
Solution Y is 30% liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kg of solution Y and 2 kg of solution Y are added to the remaining 6 kg of liquid, what percent of this new solution is liquid X?
a. 30
b. 33 1/3
c. 37 1/2
d. 40
e. 50
What is the easiest way to approach this type of problem and solve under 2 min.
a. 30
b. 33 1/3
c. 37 1/2
d. 40
e. 50
What is the easiest way to approach this type of problem and solve under 2 min.
In 8 kilograms of solution Y there are 0.3*8=2.4 kilograms of solution X;
After 2 kilograms of water are replaced by 2 kilograms of solution Y, to the existing 2.4 kilograms of solution X, 0.3*2=0.6 kilograms of solution X are added, so in the new solution of 8 kilograms there are 2.4+0.6=3 kilograms of solution X, which is 3/8*100=37.5% of this new solution.
Answer: C.
08 Nov 2010, 14:16
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At the beggining, you have 8KG of solution Y, i.e.
70% * 8KG = 5.6 KG of Water
30% * 8KG = 2.4 KG of X
2KG of water evaporate:
5.6KG - 2KG = 3.6KG of Water
2.4KG of X
2KG of liquid are added:
3.6KG + 2*0.70 = 5 KG of Water
2.4KG + 2*0.30 = 3 KG of X
So you have 3KG of X in 8KG (3 + 5) solution.
Therefore X concentration is 3/8 = 37.5%
70% * 8KG = 5.6 KG of Water
30% * 8KG = 2.4 KG of X
2KG of water evaporate:
5.6KG - 2KG = 3.6KG of Water
2.4KG of X
2KG of liquid are added:
3.6KG + 2*0.70 = 5 KG of Water
2.4KG + 2*0.30 = 3 KG of X
So you have 3KG of X in 8KG (3 + 5) solution.
Therefore X concentration is 3/8 = 37.5%
