Semi-Genius Needed, DIY math help

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micksf

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I know a couple of you have tried to help me understand this already but I'm posting it again so please don't kill me cause I'm math challenged.

Here's an example of my challenge. When I first started out vaping single flavors, I determined that I like flavor #1 (hazelnut) as a stand-alone vape at 5%, flavor #2 (coffee) as a stand-alone vape @ 7% , flavor #3 (fresh cream) as a stand-alone vape @ 12%.

down the road, I then took my three bottles of stand-alone juices (vg/pg/nic all in there already) and started mixing them together in different combination to create a recipe that I liked, I'll call it "Starbucks" for example. I determined that in a 5ml test bottle I like a combination of...

30% (1.5 ml) of flavor #1 @ 5%
50% (2.5ml) of flavor #2 @ 7%
20% (1ml) of flavor #3 @ 12%.

Note: the first percentage in each line listed in the immediate above example is a percentage of each flavor for the total combination of the 5ml bottle, and the second percentage is the individual flavoring listed is my stand alone vape preference (ex. flavor #1 - 30% of 5ml @ 5% flavoring). Confusing, yes.

Now what I would like to do, say a month from now, is make a batch of my Starbucks recipe in a 30ml bottle from scratch. I don't want have to make three separate bottles of each of my three stand-alone flavors and mix them together every time I want to make "Starbucks". So, I'm trying to figure out the formula that will help me determine what the percentage is of each of the three original flavors I need to add together to create a larger bottle. Also, knowing the formula would allow me to decipher recipes with any number of individual flavors (ex. 2 flavors or 4 flavors) with different final mix bottle sizes (30ml, 60ml, ect). Knowing the formula to this dilemma would help quite a bit.

Once I know the percentage of each individual flavor I used for my recipe I can plug it into any ejuice calculator to create my recipes going forward. Does that make sense?


I should also note these are flavors/combination percentages are made up for demonstration purposes only. I'm only using them as examples to help determine the formula necessary to make any recipe using any amount of flavors as ingredients and variable bottle sizes. This is not a real recipe.
 
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Fringeoflunacy

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Okay, I'll try to do my best here. I know how to get the answer, although there's probably a more elegant way of doing this. I understand the math, I'm just really bad at explaining things. I'm assuming you know how to express percentages as decimals? Like 30% = .3 and 5% = .05? Let me know if you don't.

So, take your 5ml batch for example. You want to find out what percentage of each flavor is in the bottle. It's actually pretty simple.

Flavor 1
You know that 30% of that bottle has 5% flavoring, so you take .3 x .05 = .015.
Turn that back into a percentage, and that means that 1.5% (or .075ml) of that 5ml bottle is flavor1.

Flavor 2
.5 x .07 = .035
So, 3.5% (or .175ml) of that 5ml bottle is flavor2.

Flavor 3
.2 x .12 = .024
So, 2.4% (or .12ml) of that 5ml bottle is flavor3.


Overall you have 1.5% flavor1, 3.5% flavor2, and 2.4% flavor3. From here it's easy to make any size bottle, just multiply each percentage by the size of the batch you're making and the answer will be how many ml of flavoring to add. For example:

For 30ml
.015 x 30 = .45ml of flavor1
.035 x 30 = 1.05ml of flavor2
.024 x 30 = .72ml of flavor3

For 60ml
.015 x 60 = .9ml of flavor1
.035 x 60 = 2.1ml of flavor2
.024 x 60 = 1.44ml of flavor3


I really hope that made sense. I have a good head for math, although I don't always arrive at the answer in the simplest way. If you need any clarification just let me know and I'll do my best. If you think you understand it, give this problem a try and let me know what you come up with. I'll set it up the same way as you did.

In a 10ml bottle, I like:
25% (2.5ml) of juice1 with 10% flavor1
25% (2.5ml) of juice2 with 5% flavor2
40% (4ml) of juice3 with 15% flavor3
10% (1ml) of juice4 with 20% flavor4

Can you tell me what percentage of each flavor is in that overall 10ml bottle? How many ml of each flavor would I need to make a 60ml batch of juice?


It's like high school math class all over again, isn't it? :D:D:D
 

Hoosier

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30% (1.5 ml) of flavor #1 @ 5%
50% (2.5ml) of flavor #2 @ 7%
20% (1ml) of flavor #3 @ 12%.

1.5ml * 5% = 0.075ml of #1
2.5ml * 7% = 0.175ml of #2
1ml * 12% = 0.12ml of #3

Total flavoring = 0.37ml in 5ml is 7.4% total flavoring.
Of that total #1 is 20.3%, #2 is 47.3%, #3 is 32.4%.

That's the way I think of it and would put into Scubabatdan's calculator.
 

zoiDman

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