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Chris is starting their first full-time job at one the top hotel groups in Georgia. They are paid by the hour plus time and a half for his hours over 40. Last week, they worked 111 hours overtime, and their gross pay was $ 1500. What is their hourly rate?

User Dleerob
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1 Answer

6 votes

Final answer:

Chris's approximate hourly rate is $7.26, which is determined by an equation that factors in their regular work hours, overtime hours, and total gross pay.

Step-by-step explanation:

Chris calculated their hourly rate based on their gross pay and hours worked. With an overtime of 111 hours, it means Chris worked a total of 151 hours (40 regular hours + 111 overtime hours).

Chris's pay for the overtime hours is at a time and a half rate. If we let x represent the hourly rate, the equation for the total pay of 1500 dollars including overtime would be:

40x + 111(1.5x) = 1500

By solving the equation, we can find out Chris's hourly rate. After distributing and combining like terms:

40x + 166.5x = 1500

206.5x = 1500
x = 1500 / 206.5
x = 7.26 (approx.)

Thus, Chris's approximate hourly rate is $7.26.

User Ian Ross
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