SOLUTION: A chemist has 35% NaCl solution and 50% NaCl solution. How many liters of each should he mix to get 10L of NaCl solution with 40% base concentration?

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Question 324803: A chemist has 35% NaCl solution and 50% NaCl solution. How many liters of each should he mix to get 10L of NaCl solution with 40% base concentration?
Found 2 solutions by Fombitz, modi.kk91:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 35% solution, B the amount of 50% solution.
A%2BB=10
35A%2B50B=40%2810%29=400
Multiply eq. 1 by -50 and add to eq. 2 to eliminate B.
-50A-50B%2B35A%2B50B=-500%2B400
-15A=-100
highlight%28A=20%2F3%29
Then from eq. 1,
20%2F3%2BB=30%2F3
highlight%28B=10%2F3%29

Answer by modi.kk91(20) About Me  (Show Source):
You can put this solution on YOUR website!
first method
let liter of 35%solution=x
liter of 50% solution= 10-x
35%x+50%(10-x)=40%10

35x+500-50x=400
100=15x

x=100/15 at 35%

10-100/15=50/100 at 50%

second method


35% 50%

40%

50-40=10 and 40-35=5


ratio=2:1======2x+1x=3x
ans 2x=20/3
1x=10/3
3x=10
x=10/3