Respuesta :

6.25 times (6.25 times mean the filter cleans the 20 gallon capacity tank 6 times for fully, and the [tex]7^{th}[/tex] time the filter cleans only 5 gallons) of 20 gallon tank get cleaned, if the filter cleans 125 gallons for every hour.

Step-by-step explanation:

The given is,

                 Filter cleans 125 gallons every hour

                 How many times 20 gallon tank get cleaned every hour

Step:1

               Formula for number times 20 gallon tank get cleaned is,

                                 [tex]No.of times, n= \frac{Filter clean capacity per hour}{Capacity of tank}[/tex]...........(1)

             From the given values,

                   Filter clean capacity per hour = 125 gallons per hour

                                         Capacity of tank = 20 gallons

             Equation (1) becomes,

                                            [tex]n = \frac{125}{20}[/tex]

                                               [tex]= 6.25[/tex]

                                            n = 6.25 times

             Number times 20 gallon tank get cleaned, n = 6.25 times

             Where, 6.25 times mean the filter cleans the 20 gallon capacity tank 6 times for fully, and the [tex]7^{th}[/tex] time the filter cleans only 5 gallons.  

Result:

            6.25 times of 20 gallon tank get cleaned, if the filter cleans 125 gallons for every hour.