The phillips family and the peterson family each used their sprinklers last summer. the water output rate for the phillips family's sprinkler was 35 l per hour. the water output rate for the peterson family's sprinkler was 15 l per hour. the families used their sprinklers for a combined total of 35 hours, resulting in a total water output of 925 l. how long was each sprinkler used?

The Phillips family used their sprinklers for 20 hours while The Petersons family used their sprinklers for 15 hours.

Step-by-step explanation:

Let x = the number of times that the Phillips family used their sprinkler last summer.

Let y = the number of times that the Petersons family used their sprinkler last summer.

The water output rate for the Phillips family sprinkler was 35 L per hour.

This means that the total volume of water from their sprinkler is 35xL

The water output rate for the Petersons family sprinkler was 15 L per hour.

This means that the total volume of water from their sprinkler is 15yL

The families used their sprinklers for a combined total of 35 hours, resulting in a total water output of 925 L. This means

x + y = 35

35x + 15y = 925 - - - - - - - - 2

Substituting x = 35 - y into equation 2

35(35-y) + 15y = 925

1225 - 35y + 15y = 925

- 20y = 925 - 1225 =- 300

y = - 300 / -20 = 15

x = 35 - y = 35 - 15 = 20

The Phillips family used their sprinklers for 20 hours while The Petersons family used their sprinklers for 15 hours.

x=half

step-by-step explanation:

●yes, this statement is absolutely apt.

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