You are a chemist and you have a supply of a brine solution that is 40% salt and a brine that is 20% salt. You are performing a experiment that requires you to have 12 liters of a 25% brine solution. How much of the 40% solution and 20% solution do you need to add together to get the required solution?

Respuesta :

Answer:

We will need 3 Liters of 40% solution and 9 Liters of 20% solution to add together to get the required solution.

Explanation:

Let the volume of 40% of brine solution be x and volume of 20% of brine solution be y.

Volume of brine solution in 40% solution = 40% of x = 0.4x

Volume of brine solution in 20% solution = 20% of y = 0.2y

Percentage of brine solution required = 25%

Total volume of brine solution of 25% required = 12 L

x + y = 12 L...[1]

[tex]0.4x+0.2y=\frac{25}{100}\times 12[/tex]

[tex]0.4x+0.2y=3[/tex]..[2]

Solving [1] and [2]: we get :

x = 3

y = 9

We will need 3 Liters of 40% solution and 9 Liters of 20% solution to add together to get the required solution.

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