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prepare 30ml of a 1:200 solution by combining a 1:10 and a 1:400 solution. how much of the 1:400 solution will be needed

Answer :

Amount of 1:400 solution needed = 27.27 ml

To prepare a 30 ml solution with a 1:200 ratio by combining a 1:10 and a 1:400 solution, we need to determine the amount of the 1:400 solution required.

Let's assume "x" represents the volume (in ml) of the 1:400 solution needed.

In a 1:200 solution, the ratio of the 1:10 solution to the 1:400 solution is 1 part to 2 parts (1:2). This means that for every 1 ml of the 1:10 solution, we need 2 ml of the 1:400 solution.

So, for x ml of the 1:400 solution, we would require (1/10) * x ml of the 1:10 solution.

Since the total volume of the solution is 30 ml, the sum of the volumes of the two solutions must be equal to 30 ml:

x + (1/10) * x = 30

Simplifying the equation:

(11/10) * x = 30

To isolate "x," we can divide both sides by (11/10):

x = (30 * 10) / 11

x ≈ 27.27 ml

Therefore, approximately 27.27 ml of the 1:400 solution will be needed to prepare a 30 ml solution with a 1:200 ratio by combining the 1:10 and 1:400 solutions.

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