SOLUTION: how many litres of a solution containing 18% sulphuric acid by volume, and how many litres of another solution containing 25% sulphuric acid must be combined to make 550 L of solut

Question 1127833: how many litres of a solution containing 18% sulphuric acid by volume, and how many litres of another solution containing 25% sulphuric acid must be combined to make 550 L of solution containing 23% sulphuric acid?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Algebraically, solve the equation that says x liters of .18 solution plus (550-x) liters of .25 solution yields 550 liters of .23 solution:

I'll let you do the algebra to finish.

But here is a method for finding the answer that, if you understand it, will get you to the answer to a problem like this much faster and with much less work.

Think of starting with the 18% solution and adding some 25% solution, stopping when the mixture is 23%. The 23% is 5/7 of the way from 18% to 25%; that means 5/7 of the mixture needs to be the 25% solution.

;

The mixture needs to have 2750/5 liters of 25% solution and 1100/7 liters of 18% solution.
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