SOLUTION: A pharmacist mixed some 10%-saline solution with with some 15%-saline solution to obtain 100ml of a 12%-saline solution. How ,uch of the 10%-saline did the pharmacist use in the m

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Question 238405: A pharmacist mixed some 10%-saline solution with with some 15%-saline solution to obtain 100ml of a 12%-saline solution. How ,uch of the 10%-saline did the pharmacist use in the mixture? .10x+.15y=.12 x+y=100
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.X%2BY=100
2.10X%2B15Y=12%28100%29
Multiply eq. 1 by -10 and add to eq. 2,
-10X-10Y%2B10X%2B15Y=-1000%2B1200
5Y=200
Y=40
Then from eq. 1,
X%2BY=100
X=60
60 ml of 10% solution
40 ml of 15% solution.