SOLUTION: One solution is 10% acid and another is 25%acid. Howmany litres ofeach should be mixed to form 30L of a solution that is 18% acid?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: One solution is 10% acid and another is 25%acid. Howmany litres ofeach should be mixed to form 30L of a solution that is 18% acid?      Log On


   



Question 73485: One solution is 10% acid and another is 25%acid. Howmany litres ofeach should be mixed to form 30L of a solution that is 18% acid?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the required number of liters of 10% acid solution, then (30-x) = the required number of liters of 25% acid solution. The sum of these will make up the 30 liters of 18% acid solution. After changing the percentages to their decimal equivalents, we can write the necessary equation to solve for x.
0.1x+%2B+0.25%2830-x%29+=+0.18%2830%29 Simplify and solve for x.
0.1x+%2B+7.5+-+0.25x+=+5.4 Combine like-terms.
-0.15x+%2B+7.5+=+5.4 Subtract 7.5 from both sides.
-0.15x+=+-2.1 Divide both sides by -0.15
x+=+14 and 30-x+=+30-14 = 16
Solution:
You will need 14 liters of 10% acid solution plus 16 liters of 25% acid solution to make 30 liters of 18% acid solutution.