Question 1090245: Find the amount of a 12% saline solution that should be added to 80cc of a 22% saline solution in order to have a 16% solution Answer by ikleyn(52786) (Show Source):
Let x be that amount under the question, in cubic centimeters.
Then you have this equation
0.12x + 0.22*80 = 0.16*(80+x),
which represents the salt mass balasnce.
To solve the equation, multiply its both sides by 100, to get it easier. You will get
12x + 22*80 = 16*80 + 16x,
22*80 - 16*80 = 16x - 12x,
4x = 6*80 ====> x = = 6*20 = 120.
Answer. 120 cc of the 12% saline solution must be added.
