Problem 35 of 35alg-035
How many liters of a 20% salt solution must be mixed with 6 liters of a 50% salt solution to make a 30% salt solution?
Try it first
The walkthrough opens once you check an answer.
Solution walkthrough2:04
- Follow the salt. Mixing does not create or destroy salt, so salt in the two parts salt in the mixture.
- Salt strength liters. Let be the liters at : salt is . The other part has .
- The mixture is liters at , so it holds . Equation: .
- Distribute: . Subtract and : . So liters.
- Check: liters at has of salt. With the other , that is out of liters, which is .
- Traps: is only the salt in the strong solution, assumes equal parts, and is the whole mixture.