Question

Thomas has earned $800 and earns $20 every week by mowing lawns. Ken has earned $600 and earns $30 every week for helping his father with household projects. in how many weeks will both Thomas and kens earnings be the same? What will the amount of earnings be?

Answer 1

To solve, we subtract 20x from both sides and subtract 600 from both sides:

Then, we simplify by dividing both sides by 10:

Thomas and Ken have to work 20 weeks for their earnings to be the same

Answer 2

`20` weeks and
`\$1200`

Explanation:

Let us suppose their earning will be same in
`x`

so basis the given information,

`800 + 20x = 600 + 30x`

⇒
`800 - 600 = 30x - 20x`

⇒
`200 = 10x`

⇒
`x = 20`

∴ earnings of Thomas and Ken will be same in
`20` weeks

Amount for Thomas and Ken will be-

`800 + 20(20) = 600 + 30(20)\\800 + 400 = 600 + 600 = 1200`

Their earning will be
`\$1200`