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Question

# A red blood cell has no nucleus and is therefore unable to make the proteins necessary to maintain itself. Because of this, red blood cells have a relatively short life span of about $120$ days. Given that we have about $25$ trillion red blood cells, show that more than $208$ billion red blood cells die and are replaced each day. Also show that, in the $20$ seconds it took you to read this problem, about $48$ million red blood cells died and were replaced.

Solution

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Given that the red blood cell has a life span of 120 days we can divide the total amount of red blood cells by 120 days to get the number of cells that die each day.
2.2 $\times$ 10$^{13}$ $\div$ 120 days = 2.08 $\times$ 10$^{11}$ red blood cells die per day

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