SOLUTION: Mona earns three times as much as an actuary as she does a writer. Her total income is $40,000 more then that of her brother. He earns half as much as Mona does as an actuary. What

Algebra ->  Equations -> SOLUTION: Mona earns three times as much as an actuary as she does a writer. Her total income is $40,000 more then that of her brother. He earns half as much as Mona does as an actuary. What      Log On


   



Question 216910: Mona earns three times as much as an actuary as she does a writer. Her total income is $40,000 more then that of her brother. He earns half as much as Mona does as an actuary. What is Mona's salary as an actuary and the equation used to find the answer?
Answer by stanbon(75887) About Me  (Show Source):
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Mona earns three times as much as an actuary as she does a writer. Her total income is $40,000 more then that of her brother. He earns half as much as Mona does as an actuary. What is Mona's salary as an actuary and the equation used to find the answer?
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Let her writer earnings be "x".
Then her actuary earnings are "3x".
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Equations:
x + 3x = 40,000
4x = 40,000
x = $10,000 (writer earnings)
3x = $30,000 (actuary earnings)
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Cheers,
Stan H.