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Lee worked 53 hours last week. She was paid for 40 hours at her regular hourly rate and 13 hours at her overtime rate, which is 2 times her regular hourly rate. Her gross pay for the week was $1,769. What was her hourly rate?

(Include your work in the solution.)

Answer :

Let's denote Lee's regular hourly rate by x. Then, her overtime hourly rate is 2x.

Lee worked 40 hours at her regular hourly rate, so her regular pay is 40x dollars.

Lee worked 13 hours at her overtime hourly rate, so her overtime pay is 13(2x) = 26x dollars.

Her total gross pay is given as $1,769. Therefore, we can set up the following equation:

40x + 26x = 1,769

Simplifying this equation, we get:

66x = 1,769

Dividing both sides by 66, we obtain:

x = 26.83 (rounded to two decimal places)

Therefore, Lee's regular hourly rate is $26.83.

Answer: Lee's hourly rate is $26.83.

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