shackelfordjavo
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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 :

 
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:

[tex]20[/tex] weeks and [tex]\$1200[/tex]

Step-by-step explanation:

Let us suppose their earning will be same in [tex]x[/tex]

so basis the given information,

[tex]800 + 20x = 600 + 30x[/tex]

⇒[tex]800 - 600 = 30x - 20x[/tex]

⇒[tex]200 = 10x[/tex]

⇒[tex]x = 20[/tex]

∴ earnings of Thomas and Ken will be same in [tex]20[/tex] weeks

Amount for Thomas and Ken will be-

[tex]800 + 20(20) = 600 + 30(20)\\800 + 400 = 600 + 600 = 1200[/tex]

Their earning will be [tex]\$1200[/tex]

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