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?
Asked by: USER3421
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261 Answers
Answer (261)
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]