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A chemist currently has a solution of 30% hydrochloric acid and a solution of 15% hydrochloric acid. He mixes the two solutions together to create 24 ounces of a 25% hydrochloric acid solution. How many ounces of the 30% hydrochloric acid solution did he use in order to obtain the 25% solution?

Respuesta :

CastleRook
let amount of 30% ounces be x and that of 15% ounces by y.
x+y=24....i
0.30x+0.15y=0.25(24)....ii
from i:
x=24-y...iii
substitute iii in ii we get:
0.30(24-y)+0.15y=6
7.2-0.3y+0.15y=6
-0.15y=-1.2
y=8 ounces
x=24-8=16 ounces

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