The bacteria culture in question originally contained 100 bacteria
You can solve this step by step. The bacteria doubles in size every half hour which means that in the last half hour, it would have been half of what it is now.
At 3 hours, there are 6,400 bacteria. At 2.5 hours there was:
= 6,400 / 2
= 3,200 bacteria
At 2 hours there was:
= 3,200 / 2
= 1,600 bacteria
At 1.5 hours:
= 1,600 / 2
= 800 bacteria
At 1 hour:
= 800 / 2
= 400 bacteria
At 0.5 hours:
= 400 / 2
= 200 bacteria
At 0 hours:
= 200 / 2
= 100 bacteria
In conclusion, there was 100 bacteria to begin with.
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