Oddbean new post about | logout
 She almost had a very interesting question that I'm going to finish for her (because it's very easy math, I'm just a little durrhurr):

If a dollar is 100 cents
And tax is 10%
How many people can you pass that dollar to before it reaches ~50¢, ~25¢, ~10¢, ~1¢.

How many times can you pass money from one hand to another, before a 10% tax has taken 50% or more of the total value? Genuinely would love to see the math on this (if anyone could tell me the formula as well that would be based)

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 If you're passing a dollar bill, it would be 5 people. 0.1*1x=0.5; x=5

If you only have $0.90 after the first pass, because you took out the taxes, then it is more complicated.  I don't think there will be a good formula because you have to round to the nearest cent, and rounding error will become very significant.

Tax - left
10c - 90c
9c - 81c
8c - 73c
7c - 66c
7c - 59c
6c - 53c
5c - 48c

More than half gone after 7 people. 
 Ehhh, I always round the final number only, so I'd just let the formula proceed as it wanted. But jfc, even just doing the hand math; 7 people and 52% gone 😭