time of Bell's sprinklers --- x hrs
time of Patterson's ------- 65-x hrs
solve for x:
15x + 25(65-x) = 1225
The Patterson family and the bell family each used their sprinklers last summer. The wayer output rate for the patterson family's sprinkler was 25 L per hour. The water output rate for the bell family's speinkler was 15 L per hour. The familiez used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1225 L. How long was each sprinkler used?
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