Trouble with working out how to get an answer.

Psyrin

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Joined
Mar 7, 2021
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I get my self in a feud about working things out and being very efficient and not wasting time.
and was introduced to a game the other week.

its very micro-intense and has a lot of number crunching in the background.

I'm trying to work out how much of a ~"Base" amount of a resource i need so im not investing too much time in collecting too much.
which will help in so much in the long run when figuring it out when doing this equation or math again.

the amount i need to reach is exactly 193,105


each action causes me to get 15 x 2 (because of an skill i have making all actions i do doubled with results)

so every action (A = 30)
every action i have has a 24.8% on saving a resources
which is where all my math starts confusing me.
this is why I put an "~"on the base amount i need.

there are 3 recipe in this resource that i need.
all requiring a base of 15.
here's the list of resources for the recipe.
Resource A (RA)
Resource B (RB)
Resource Z (RZ) Which means nothing to the math. (because it will equal the exact amount I need in that half of the recipe)
Resource D (RC) which is the 193,105.
Final Product (FP)
And base so we know where we starting (B)

Recipe 1 (RA) = (B) =15 of (RA)
Recipe 2 (RB) = 15 of (RA) & 15 of (RZ) = 15 of (RB)
Recipe 3 (FP) = 15 of (RB) & 15 of (RC) = 15 of (FP)

every action costs a resource of 15
but 1 of my skills lets me get 2x Resources every action so every 15 i make is actually 30

This is my math so far and it just seems so wrong to me but gets me so close to an answer.
if i am ever rounding up and down in my math its because you cant use a fraction when using actions.
and im dividing twice because it takes 2 recipes to come to the point where I need a base.

6437 = 193,105/30
((6437-(6437*0.248))*30/2)/2"

1) 6,437*0.248 = 1,596
2) 6,437 - 1,596 = 4,841
3) 4,841*30 = 145,230
4) 145,230 / 2 = 72,615
5) 72,615 / 2 = 36,308

So my math is telling me ~36,308 is a ~base i need with my math.
it takes literally days to get this many resources sooo if my ~Base is off by like 1,000 it could take me another 2 or les days to get.
soo all the help and opinions would be much appreciated.


If anyone else is interested in the game Here is the link :):)
 
Solved it my self by bickering to my friend for a minute and figured it out.
made it a whole lot more complicated than i needed to.
also cant round down for actions because they will use up a resource so have to round up 1 unit.

(193,105/B-((193,105/B)*0.248)

every action is double from Recipe 1 and 2
so B = 15*2*2

193,105/60 = 3218.41 rounding up for actions
3219 * 0.248 = 798.31 rounding up for actions
3219 - 799 = 2419
2419 is base if taking 24.8% of the time i save a resource.
 
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