Question

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Answer 1

Answer:

Bailey family's sprinkler was used for 35 hours and Harris family's sprinkler was used for 20 hours.

Step-by-step explanation:

 Set up a system of equations.

Let be "b" the time Bailey family's sprinkler was used and "h" the time Harris family's sprinkler was used.

Then:

$\left \{ {{b+h=55} \atop {15b+40h= 1,325}} \right.$

You can use the Elimination method. Multiply the first equation by -15, then add both equations and solve for "h":

$\left \{ {{-15b-15h=-825} \atop {15b+40h= 1,325}} \right.\\.............................\\25h=500\\\\h=\frac{500}{25}\\\\h=20$

Substitute $h=20$ into an original equation and solve for "b":

$b+20=55\\\\b=55-20\\\\b=35$