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Can y'all help with a simple dilution calculation

Posted on 10/19/18 at 4:23 pm
Posted by X123F45
Member since Apr 2015
27351 posts
Posted on 10/19/18 at 4:23 pm
I have two fluids.

One container of fluid is 11 quarts. It is full of fluid A. I can only swap four quarts of fluid B at a time.

How do a figure out at what point the container is 90% or better of fluid B?

I know it is a simple algebraic equation, but it's almost 5 on a Friday and I'm completely fried.

Help appreciated.
Posted by mikelbr
Baton Rouge
Member since Apr 2008
47463 posts
Posted on 10/19/18 at 4:27 pm to
quote:

I know it is a simple algebraic equation, but it's almost 5 on a Friday and I'm completely fried.


You're in college?
Posted by X123F45
Member since Apr 2015
27351 posts
Posted on 10/19/18 at 4:29 pm to
quote:

You're in college?



God no.

I'm trying to figure out how many times to change the fluid in a poorly placed gearbox.

Posted by ProjectP2294
South St. Louis city
Member since May 2007
70097 posts
Posted on 10/19/18 at 4:35 pm to
After the first round, you'll have 36% fluid B. You should be able to take it from there.
Posted by X123F45
Member since Apr 2015
27351 posts
Posted on 10/19/18 at 4:36 pm to
The first round is the easy one
Posted by Mr Wonderful
Love City
Member since Oct 2015
1045 posts
Posted on 10/19/18 at 4:40 pm to
quote:

it's almost 5 on a Friday and I'm completely fried.

So are we.
Posted by ProjectP2294
South St. Louis city
Member since May 2007
70097 posts
Posted on 10/19/18 at 4:40 pm to
I think you'll need to do it 4 times. I got 83% after the third change. But I don't know if I was doing it right. I was applying a pro rata tax calculation formula to it.
Posted by X123F45
Member since Apr 2015
27351 posts
Posted on 10/19/18 at 4:41 pm to
It's the dumbest simplest formular in excel and my brain refuses to remember it.

It's just a quotient calculation repeated
Posted by nola000
Lacombe, LA
Member since Dec 2014
13139 posts
Posted on 10/19/18 at 4:43 pm to
Maybe try Pearson's Square.

Posted by Jim Rockford
Member since May 2011
98137 posts
Posted on 10/19/18 at 4:47 pm to
Just get a baw in the shop to use the eyeball method.
Posted by Rouge
Floston Paradise
Member since Oct 2004
136794 posts
Posted on 10/19/18 at 4:47 pm to
11-1.1 = 9.9 quarts is 90% of fluid B needed

Posted by ProjectP2294
South St. Louis city
Member since May 2007
70097 posts
Posted on 10/19/18 at 4:50 pm to
I just did it a different way in Excel and got this:

A B B A
11 0 0% 100%
7 4 36% 64%
4.454545455 6.545454545 60% 40%
2.834710744 8.165289256 74% 26%
1.803906837 9.196093163 84% 16%
1.147940714 9.852059286 90% 10%
Posted by foshizzle
Washington DC metro
Member since Mar 2008
40599 posts
Posted on 10/19/18 at 4:53 pm to
Nobody has said 350 or 288 yet?

Edit: Just checked, I'm the first.
This post was edited on 10/19/18 at 4:53 pm
Posted by Coon
La 56 Southbound
Member since Feb 2005
18492 posts
Posted on 10/19/18 at 4:53 pm to
3.fiddy
Posted by Mor Miles
Member since Apr 2017
419 posts
Posted on 10/19/18 at 4:55 pm to
Round 1: 4/11 = 36%
Round 2: 36% of 7L = 2.52L
6.52/11 = 59%
Round 3: 59% of 7L = 4.13L
8.13/ll = 74%
Round 4: 74% of 7L = 5.18L
9.18/11 = 83%
Round 5: 83% of 7L = 5.81L
9.81/11 = 89%
Round 6: 89% of 7L = 6.23L
10.23/11 = 93%
Posted by The Mick
Member since Oct 2010
43077 posts
Posted on 10/19/18 at 5:07 pm to
I'll give you a hint:

Think about the indian and his 3 and 5 gallon buckets riddle.

You're welcome
Posted by Kimist
Member since Nov 2011
459 posts
Posted on 10/19/18 at 5:11 pm to
6 times.

C1 X V1 = C2 X V2
V1 IS 7 and V2 is 11. Each time decreases amount of A by 7/11.

1st. 63.64% A
2nd. 40.50% A
3rd. 25.77% A
4th. 16.40% A
5th. 10.44% A
6th. 6.64% A

I edited because I forgot you wanted less than 10% of A remaining.
This post was edited on 10/19/18 at 5:20 pm
Posted by keakar
Member since Jan 2017
29906 posts
Posted on 10/19/18 at 5:39 pm to
no, do your own damn homework
Posted by Jyrdis
TD Premium Member Level III
Member since Aug 2015
12788 posts
Posted on 10/19/18 at 5:47 pm to
When you swapped out Fluid A for Fluid B at the first iteration, did you mix the fluids? If so, the calculation gets a bit more messy.
Posted by Tigris
Mexican Home
Member since Jul 2005
12349 posts
Posted on 10/19/18 at 5:49 pm to
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