SOLUTION: A pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100 mL of a 12% saline solution. How much of the 10% saline solution did the pharmacist use in t

Question 446924: A pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100 mL of a 12% saline solution. How much of the 10% saline solution did the pharmacist use in the mixture?
A 60 mL
B 45 mL
C 40 mL
D 25 mL
Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2-liter mixture that is 10% pure fruit juice. How many liters of pure fruit juice does she need to add?
A 0.4 liter
B 0.5 liter
C 2 liters
D 8 liters
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
100x12%=12
m+n=100
.1m+.15n=12
10m+15n=1200
10m+10n=1000
5n=200
n=40
m=60
The pharmacist used 60 ml of 10% solution, and 40 mL of 15% solution..
----------------------------------
Since it's 10% fruit juice, the rest is water:
2x.90=1.8
.75 x m=1.8
m=1.8/.75=2.4
2.4-2.0=.4 liters of pure fruit juice needed
2.4x.25=.6
.2 ltrs + .4 ltrs=.6 ltrs.
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