Question

Estella mowed lawns over the summer to make extra money. She earned $147.00 and charged $10.50 for each lawn. How many lawns did she mow?

Answer 1

See a solution process below:

Explanation:

First, let's call the number of lawns Estella mowed: `m`

We can then write this equation to represent the lawn mowing and payment Estella received over the summer:

`c xx m = t`

Where:

• `c` is the cost of mowing the lawn: `($10.50)/"lawn"` for this problem.

• `m` is the number of lawns mowed: what we are solving for in this problem.

• `t` is total amount earned: `$147.00` for this problem.

Substituting and solving for `m` gives:

`($10.50)/"lawn" xx m = $147.00`

`color(red)("lawn")/color(blue)($10.50) xx ($10.50)/"lawn" xx m = color(red)("lawn")/color(blue)($10.50) xx $147.00`

`cancel(color(red)("lawn"))/cancel(color(blue)($10.50)) xx color(blue)(cancel(color(black)($10.50)))/color(red)(cancel(color(black)("lawn"))) xx m = color(red)("lawn")/color(blue)(color(black)(cancel(color(blue)($)))10.50) xx color(blue)(cancel(color(black)($)))147.00`

`m = 147/color(blue)(10.50)color(red)("lawn")`

`m = 14"lawn"`

Estella mowed 14 lawns over the summer