how many liters of a 65% acid solution should be added to a 14 liters of a 25% acid solution to make a 37% acid solution?

Question

How many liters of a 65% acid solution should be added to14 liters of a 25 % acid solution should be added to make a 37 % acid solution? 

Answer 1

Let x = number of liters of 65% solution

 

Then, x + 14 = number of liters of 37% solution

 

Acid content of 65% solution = 0.65x

Acid content of 25% solution = 0.25(14) = 3.5 

Acid content of mixture = 0.37(x + 14) = 0.37x + 5.18

 

Then, 0.65x + 3.5 = 0.37x + 5.18

 

                 0.28x = 1.68

 

                       x = 6 liters