Question

The Hill family and the Stewart family each used their sprinklers last summer. The water output rate for the Hill family's sprinkler was 15 L per hour. Thewater output rate for the Stewart family's sprinkler was 25 L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in atotal water output of 1025 L. How long was each sprinkler used?Note that the ALEKS graphing calculator can be used to make computations easier.Х5?Hill family's sprinkler: hoursStewart family's sprinkler: [hoursM

Answer 1

The Hill family and the Stewart family each used their sprinklers last summer. The water output rate for the Hill family's sprinkler was 15 L per hour. The

water output rate for the Stewart family's sprinkler was 25 L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a

total water output of 1025 L. How long was each sprinkler used?

Let

x ------> the number of hours of Hill family's sprinkler

y ------> the number of hours of Stewart family sprinkler

so

we have that

x+y=55 -------> x=55-y ------> equation 1

15x+25y=1025 ------> equation 2

Solve the system

Substitute equation 1 in equation 2

15(55-y)+25y=1025

solve for y

825-15y+25y=1025

10y=1025-825

10y=200

y=20

Find the value of x

x=55-20) -----> x=35

therefore

Hill family's sprinkler: 35 hours

Stewart family's sprinkler:20 hours