If I donate blood, how many times would I have to donate to replace blood to replace it entirely?

This post has been de-listed

It is no longer included in search results and normal feeds (front page, hot posts, subreddit posts, etc). It remains visible only via the author's post history.

Post Flair (click to view more posts with a particular flair)

Algebra

Post Body

I am trying to figure out how to do this, and I cant seem to come up with a way.
Suppose you donate 1 unit per donation, and the body holds 10 units of blood. How many times would I have to donate to get the original dilution down to 1%?
By my calculations, by the 7th dilution, it should be 47.82969% of the original blood remaining. So im estimating that it should be close to 20 times?
My math was simply removing 10% each time from the original 100%. So 100-10%=90%. 90-10%(9.0)= 81% - 10% (8.1%) = 72.9...etc

Author

Account Strength

100%

Account Age

7 years

Verified Email

Yes

Verified Flair

Total Karma

10,504

Link Karma

4,269

Comment Karma

6,131

Profile updated: 2 days ago

BeigeSofa

Subreddit

r/askmath

Post Details

We try to extract some basic information from the post title. This is not always successful or accurate, please use your best judgement and compare these values to the post title and body for confirmation.

Posted: 7 months ago
Reddit URL: View post on reddit.com
External URL: reddit.com/r/askmath/com...