The faners family and the edwards family each used their sprinklers last summer. the water output rate for the edwards family's sprinkler was 40 l per hour. the water output rate for the hayes family's sprinkler was 25 l per hour. the families used their sprinklers for a combined total of 60 hours, resulting in a total water output of 2025 l. how long was each sprinkler used?

Edwards family: 35 hours

Hayes family: 25 hours

Step-by-step explanation:

Given the two variables and two sets of data, you can set up a system of equations and substitution to solve for one variable first and then the other.

Based on the output rate for each sprinkler and the total water output:

40x + 25y = 2025, where 'x' is the number of hours of the Edwards sprinker and 'y' is the number of hours of the Hayes sprinkler

Based on the combined total of 60 hours

x + y = 60

Solving the second equation for 'x':  x = 60-y

Substitute the expression '60 - y' in for 'x' in the first equation:

40(60 - y) + 25y = 2025

Distribute: 2400 - 40y + 25y = 2025

Combine like terms: -15y = -375

Divide and solve for 'y':  y = 25

Solve for 'x':  X = 60 - 25 = 35

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step-by-step explanation:

answer

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