Problema Solution

Amy makes three times as much as an actuary as she does a writer. Her total income is $40000 more than her brother. Her brother earns half as much as Amy does as an actuary. What is Amy's salary as an actuary?

Answer provided by our tutors

let


a = Amy's salary as an actuary


b = her brother's salary


Her total income is $40000 more than her brother:


a = 40000 + b


Her brother earns half as much as Amy does as an actuary:


b = (1/2)a


by solving the system of equations:


a = 40000 + b


b = (1/2)a


we find:


a = $80,000


b = $40,000


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Amy's salary as an actuary is $80,000.