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?

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) (Show Source): You can put this solution on YOUR website!
Let A be the amount of 35% solution, B the amount of 50% solution.

Multiply eq. 1 by -50 and add to eq. 2 to eliminate B.

Then from eq. 1,

Answer by modi.kk91(20) (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

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