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.

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

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step-by-step explanation: