Question

The Lee family and the Price family each used their sprinklers last summer. The Lee family's sprinkler was used for 35 hours. The Price family's sprinkler wasused for 15 hours. There was a combined total output of 1650 L of water. What was the water output mrate for each sprinkler if the sum of the two rates was70 L. per hour?

Answer 1

Let's define the equation from the question

Lee family is going to be x

Price family is going to be y

The Lee family's sprinkler was used for 35 hours and The Price family's sprinkler was

used for 15 hours, but combined is 1650L of water

so the equation is

`35x+15y=1650`

Now the sum of x and y gives 70 L per hour

`x+y=70`

Solving

`\begin{gathered} x=70-y \\ 2450-35y+15y=1650 \\ -20y=-800 \\ y=40 \end{gathered}`

Now for x

`\begin{gathered} x=70-40 \\ x=30 \end{gathered}`

Answer: x=30 and y=40