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Sagot :
The Smith family's and Stewart family's sprinkler was used 40 and 25 hours.
According to the statement
we have given that the Smith family's sprinkler was 25L per hour and
Stewart family's sprinkler was 30L per hour and The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1750L.
And we have to find the How long was each sprinkler used.
So, For this purpose,
The given statements in the equation form become:
Let Smith family's sprinkler be x
Let Stewart family's sprinkler be y then
The equation become
x + y = 65 -(1)
25x + 30y = 1750 -(2)
Here we use the elimination method.
So, Multiply (1) by 25 and (2) by 1 then
25x + 25y = 1625
25x + 30y = 1750
Now eliminate x from the equations then
-5y = -125
y = 25
then x value becomes
x + y = 65
x + 25 = 65
x = 40.
So, The Smith family's and Stewart family's sprinkler was used 40 and 25 hours.
Learn more about elimination method here
https://brainly.com/question/12691830
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