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What can concentrations in water tell us?

Concentration is a measure of how much matter is in a given volume.

If we know the volume of a liquid, and the mass of something added to it, we can calculate the concentration.   Let's take a look at how this works: 

A packet of sweetened Cherry Kool-Aid contains 3.6 g of a mixture of substances. The amount of Red Dye #40 is  3.4 mg, and the amount of sugar is 3 g.


If we put a packet of Cherry Kool-Aid in a pitcher and added enough water to make 1 liter of solution, the concentration of Red Dye #40 in the solution would be:

concentration = mass / volume
     c = m / v
                               c  = 3.4 mg/ 1L = 3.4 mg/L

Brain Twister:
What would be the concentration of sugar in the 1 liter of Cherry Kool-Aid?