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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 ?

Respuesta :

clairebear11213
We can write this as an equation:
[tex]800 + 20x = 600 + 30x[/tex]
where x is the number of weeks.

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

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