Polluted water is passed through a series of filters. Each filter removes 90% of the remaining impurities from the water. If you have 10 million particles of pollutant per gallon originally, how many filters would the water need to be passed through to reduce the pollutant to below 500 particles per gallon? You can only use a whole number of filters.

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Answer:

5 filters

Step-by-step explanation:

1 filter = 1 million remain

2 filter =100,000 remain

3 filter =10,000 remain

4 filter =1,000 remain

5 filter  = 100 remain which is below to 500

The answer is 5 filters