Find the number of liters of 20% acid solution in the new mixture.

Question

Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. find the number of liters of 20% acid solution in the new mixture.

Answer 1

x=# of liters of the 20% acid solution

(8%)(12)+(20%)(x)=(16%)(12+x)

0.08(12)+(0.2)(x)=(0.16)(12+x)

0.96+0.2x=1.92+0.16x

0.20x-0.16x=1.92-0.96

0.04x=0.96

4x=96

x=96/4

x=24 L of the 20% acid solution