Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function:
y=0.1(200)+0.4x/200+x * 100

the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?
ml

The chemist needs to add 400mL of 40% solution.

Step-by-step explanation:

The equation

gives the percent concentration of the final mixture, when mL of the 40% solution are added.

Now we are asked, how many milliliters of the 40% solution should the chemist add to get final percent concentration ; this is just a matter of solving the equation

and we solve it the following way:

Thus, the chemist needs 400mL of 40% solution to get 30% concentration of the final mixture.

b is the answer that makes most sense

step-by-step explanation: