Mixing Solutions Concentration Calculator

Find the concentration when two salt solutions are mixed. A classic word problem solver that works from total salt and total weight, with steps.

Input

Find the concentration when two salt solutions of different strengths are mixed. Enter the weight in grams and concentration in percent for each solution.

Solution 1

Weight

Concentration

Solution 2

Weight

Concentration

To add pure water, enter it as a solution with 0 percent concentration.

Result

Mixed concentration

Total salt

25 g

Total weight

500 g

Step-by-step solution

Salt in solution 1 = 200 g × 8% ÷ 100 = 16 g

Salt in solution 2 = 300 g × 3% ÷ 100 = 9 g

Total salt = 16 g + 9 g = 25 g

Total weight = 200 g + 300 g = 500 g

Mixed concentration = 25 g ÷ 500 g × 100 = 5%

Concentration equals total salt divided by total weight, times 100. The key idea is that both the salt and the total weight simply add up when solutions are mixed.

How it works

The amount of salt in a solution is its weight times its concentration divided by 100. For example, 200 g of an 8 percent solution contains 16 g of salt.
When two solutions are mixed, the salt and the total weight each add together. The mixed concentration equals total salt divided by total weight, times 100.
Enter each weight in grams and each concentration in percent. Concentration must be between 0 and 100, and the total weight must be greater than 0.
Set one weight to 0 to check a single solution, or enter a 0 percent solution to model adding pure water.

Reviews

Tell us what you think of this calculator.