Scaling a recipe.

[KillaVolt]

I'm working with a recipe and trying to figure out the right way to solve my problem is eluding me at the moment.

The recipe calls for 10g of a solid fat (shortening I guess) and 15ml of oil per 10g.

I have 198g of shortening, and 225ml of oil.

What I need to figure out/scale, is how much less shortening to use while still using 225ml of oil, so I can maintain the proper ratio of shortening to oil.

So if I still want to use 15ml, how many fewer grams of shortening do I use? or more specifically, how do I do the math for this quagmire.

 

[Ishuda]

I'm working with a recipe and trying to figure out the right way to solve my problem is eluding me at the moment.

The recipe calls for 10g of a solid fat (shortening I guess) and 15ml of oil per 10g.

I have 198g of shortening, and 225ml of oil.

What I need to figure out/scale, is how much less shortening to use while still using 225ml of oil, so I can maintain the proper ratio of shortening to oil.

So if I still want to use 15ml, how many fewer grams of shortening do I use? or more specifically, how do I do the math for this quagmire.

This type of problem is a constant ratio problem and ratio just means divide. That is the ratio of, in this case, fat to oil should remain constant or amount of fat divided by amount of oil should remain constant or
F/O = k
where F is the amount of fat, O is the amount of oil, and k is some constant.

Since we know one set of values, lets call them F₀ = 10 and O₀ = 15, we can compute the constant k
k = F₀ / O₀

Now we want to put in 225 for O and determine F.