Alewuya needs to mix a 20% acid solution with a 40% acid solution to create 100 millileters of a 24% solution. How many millileters of each solution must Alewuya use?

2 answers

−4( 2x + y ) − ( 4x + y )
=4x+4y-4x-4y
-8x-3y
If there are x ml of 20% then the rest (100-x) is 40%.

So, add up the acid in the parts; it must equal the acid in the result:

.20x + .40(100-x) = .24*100

and that's liters, not leters.

When you get your answer, note that 24% is 1/5 of the way from 20 to 40, so 1/5 of the mixture must be the higher concentration.