a chemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent…

a chemist 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: $y = \frac{0.1(200)+0.4x}{200 + x}cdot100$. 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?

a chemist 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: $y = \frac{0.1(200)+0.4x}{200 + x}cdot100$. 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?

Answer

Explanation:

Step1: Identify the volumes

The initial volume of the 10% solution is 200 mL and the volume of the 40% solution added is 400 mL.

Step2: Calculate the total volume

The total volume of the final mixture is the sum of the volume of the initial 10% solution and the volume of the 40% solution added. So, (V = 200+400).

Answer:

600