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fran massey earns three times as much as an actuary than sshe does as a writer. her total income is $40000 more than that of her brther, who earns only half as much as fran does as an actuary. what is
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fran massey earns three times as much as an actuary than sshe does as a writer. her total income is $40000 more than that of her brther, who earns only half as much as fran does as an actuary. what is fran's salaray as an actuary

User MofX
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13 votes

Final answer:

Fran's salary as an actuary would be $120,000.

Step-by-step explanation:

Let's say Fran's salary as a writer is X dollars.

According to the question, Fran earns three times as much as an actuary compared to her income as a writer.

So, her salary as an actuary would be 3X dollars.

Now, the question states that Fran's total income is $40,000 more than her brother's income.

Since her brother earns only half as much as Fran does as an actuary, his salary would be (1/2) * 3X = 1.5X dollars.

Therefore, Fran's salary as an actuary (3X) should be $40,000 more than her brother's salary (1.5X). Setting up an equation: 3X - 1.5X = $40,000.

Solving for X, we find that X = $40,000. So, Fran's salary as an actuary would be 3X = 3 * $40,000 = $120,000.

User Phil Mok
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