How many liters of water must sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that is 12% sugar?

The amount of sugar in the starting solution contributes to a 36% concentration, so we have

units of sugar in the solution.

Into this solution, Sharon wants to pour liters of water to obtain a smaller concentration of sugar in the overall solution:

So Sharon needs to add liters of water to the solution to get the desired concentration.

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb