In what proportion should you combine 2:5 soaking solution and distilled water to create 1:20 solution?

Let's make things easy by ending up with 21L of the 1:20 solution. That will contain 1L of pure solution.

(2/7)x + 0(21-x) = (1/21)(21)
x=7/2

So, mix 3.5L of the 2:5 mixture with 17.5L of water

To determine the proportion of 2:5 soaking solution and distilled water needed to create a 1:20 solution, we can use a simple calculation.

First, let's define the ratio of the 1:20 solution. The ratio 1:20 represents the proportion of soaking solution to distilled water in the final solution. In other words, there is 1 part of the soaking solution for every 20 parts of water.

Next, let's convert the given ratios into a common unit to make them directly comparable. We can do this by multiplying each ratio by the same number. In this case, we can multiply both the 2:5 ratio and the 1:20 ratio by 20 to get:

2 * 20 : 5 * 20 = 40 : 100

Now, we can see that the ratio of the soaking solution to water in the 1:20 solution is 40:100.

To find the proportion, we need to ensure that the ratios are equivalent. We can do this by simplifying the ratios to their simplest form. In this case, both 40 and 100 are divisible by 20, so we can simplify the ratio to:

40 ÷ 20 : 100 ÷ 20 = 2 : 5

Therefore, to create a 1:20 solution, you should combine the 2:5 soaking solution and distilled water in a proportion of 2 parts soaking solution to 5 parts water.