Question

1. 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. Construct a table to organize the information, and show all of your work to solve the problem.

Answer 1

We do
concentration=amount times percent
total concentration=concentration8+concenctration20

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

x=amount of 20% acis solution

12*0.08+0.2*x=0.16*(12+x)
solve
distribute and simplify
0.96+0.2x=1.92+0.16x
minus 0.96 from both sides
0.20x=0.96+0.16x
minus 0.16x from both sides
0.04x=0.96
divide both sides by 0.04
x=24


24 liters of the 20% was added