Question

Write and solve an equation.
Luke earned $54$ dollars after mowing three lawns. Write an equation comparing earnings to lawns mowed. How much would Luke earn after mowing seven lawns?

Answer 1

Step-1: Finding the equation comparing earnings to lawns mowed:

Let the lawns be $x$.
So we can say that earning of Luke would be $y=kx$, where $k$ is number of times lawns mowed.
Luke earned $54$ dollars after mowing three lawns.
$\therefore 3x=54$

Step-2: Finding the earning of Luke after mowing seven lawns:

$$\begin{gathered} \Rightarrow 3x=54 \\ \Rightarrow x=\frac{54}{3} \\ =\$18 \end{gathered}$$
If Luke mowed seven lawns then he earn
$$\begin{gathered} \Rightarrow 7x=7\times 18 \\ =\$126 \end{gathered}$$

Hence, Luke's earning after mowing seven lawns is $\$126$.