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

We can write this as an equation:
$800 + 20x = 600 + 30x$
where x is the number of weeks.

To solve, we subtract 20x from both sides and subtract 600 from both sides:
$800 - 600 = 30x - 20x \\ 200 = 10x$
Then, we simplify by dividing both sides by 10:
$\frac{200}{10} = \frac{10}{10} x \\ 20 = x$
Thomas and Ken have to work 20 weeks for their earnings to be the same.