Chemist has 2 soulutions.One has a? 40% concentration and the other has a? 25% concentration.

Question

How many liters of each solution must be mixed to obtain 89 liters of a 34?% ?solution?

Answer 1

A 40% concentration means that 40% of the solution is the substance we want. Similarly, a 25% concentration means that 25% of the solution is the substance we want.

We are trying to mix them together to get 89 liters of a 34% solution, which means we want a total of .34(89) or 30.26 liters of the substance.

If we set the amount of 40% solution to x, then the remaining amount needed to raise the volume to 89 liters would be 89-x. That will be how much 25% solution we will add.

The amount of substance from the 40% solution will be .40x. The amount of substance from the 25% solution will be .25(89-x). If we add them together, we should get the 30.26 that we need for the 34% solution.

.40x + .25(89-x)=30.26
.40x +  22.25 - .25x = 30.26
.15x + 22.25 = 30.26
.15x = 8.01
x = 53.4

This means we need 53.4 liters of 40% and 89-53.4 or 35.6 liters of 25% to make 89 liters of 34%.