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A Penteria is a special (fictional) kind of bacteria such that, regardless of the original population in a collection, the population increases by $5$ every minute. Additionally, at the end of every hour, all but the initial ones die. If $137$ Penteria are alive after $506$ minutes, how many were there at the beginning?

 May 27, 2020
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[x+ 506*5] - [300/hour * 8]  = 137, solve for x

 

x = 7 - Original number of Penteria that you started with.

 

Check: [7 + 506 minutes x 5 Penteria] -[300 Penteria per hour * 8 hours] =7 Penteria + 5 x 26 minutes(The remainder from 8 hours or 506 - 480 minutes) =137 Penteria.

 May 27, 2020

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