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[Justduckyy]

I memorized the answer accidentally, but don't actually understand why the .10 there?

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[Veni vidi vicii]

I see it as a dilution where the right side of the equation is the final solution you have. Since 7+3=10L that gives you 10. So dividing by the total volume gives you the amount of salt in the final solution.

 

[powerhouseofthecell]

A better way to do this than the BC explanation is part/whole. Where the part is the salt and the whole is the actual solution. To get the salt solution, multiply the salt concentration by the amount of liters for both, respectively and then add them up. So, (3)(50%)+(7)(13%)=2.41. That's the part. For the whole its the total amount of liters, so 7L+3L=10L. Part/whole = 2.41/10L which gives you 0.241 and multiply by 100 to get you the percentage which is 24.1%. Hope this helped!

 

[jLaws]

A better way to do this than the BC explanation is part/whole. Where the part is the salt and the whole is the actual solution. To get the salt solution, multiply the salt concentration by the amount of liters for both, respectively and then add them up. So, (3)(50%)+(7)(13%)=2.41. That's the part. For the whole its the total amount of liters, so 7L+3L=10L. Part/whole = 2.41/10L which gives you 0.241 and multiply by 100 to get you the percentage which is 24.1%. Hope this helped!

what he said^^^ the 0.1 is from converting the decimal to a percent