Mixing Your Eliquids

It's not important, but here's how you do it

Say you've got a big bottle of 18mg juice, and instead of wasting it you decide to mix it with 3mg juice. You would like it to end up at a custom 8mg for yourself - how much of what do you use?

There's many variations to this question such as, what strength will the result be if you mix every drop of together?

Let's do it...
E-Liquid strength is almost always measured in milligrams (weight) per milliliter (volume); expressed as mg/mL. Often the “per mL” (/mL) is dropped in conversation or informal writing, and we simply say incorrectly, "3 percent" - it's actually 0.3% nicotine. Or 3 mg per mL.

The equation:


x mL (% nicotine) + y mL (% nicotine) = x + y mL (% nicotine)
Logical, right? So lets fill in the known values from our example:

30 mL (0.03%) + y mL (0.18%) = 30 + y mL (0.08%)  <-- we're aiming for 8mg in this case.
a 30ml bottle of 3mg, plus how much 18mg, will yield a total amount of 8mg juice?


30 mL (0.03) + y mL (0.18)   30 + y mL (0.08)
------   ------    -----   -----  =  ----------  ------
100    (100)    100    (100)        100      (100)
0.03% = 3/100. So what we've done is to divide every term by 100, matching the percent fractions.


30 mL (0.03) + y mL (0.18)     30 + y mL (0.08)
------   ------    -----   -----  =  ----   -----  -----
100    (100)     100   (100)     100    100  (100)
Now we can just cancel every 100 !


30 mL (0.03) + y mL (0.18) = 30 + y mL (0.08)
Now it's starting to look like something we can deal with.
At this point we can also cancel the units, as we only have one kind of unit (mL).


0.9 mL + 0.18y mL =  2.4 + 0.08y mL
Simplified. Now we put the unknowns on one side, and knowns on the other.

0.9 + 0.18y - 0.9 - 0.08y =  2.4 + 0.08y - 0.9 - 0.08y
Doing something to each side keeps the equation balanced.

0.1y = 1.5
Almost there... Divide each side by 0.1:

y = 1.5 ÷ 0.1
y = 15
We wanted to know how many mL's of 18mg to add to a 30mL bottle of 3mg, so that we end up with an eliquid of 8mg strength.

We would add 15mL, and we would end up with a total of 45mL of 8mg eliquid.


As stated in the beginning, this level of accuracy is rarely needed. But when it is, this equation can be easily modified to determine any variable.
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