Question

Sophia works 35 regular hours per week at the meadow deli. Her hours over 35 are considered overtime. She earns 15 per hour and receives time-and-a-half for each hour of overtime she works. Last week she worked 41 hours and received a gross pay of305.80. This amount is incorrect. How much does Sophia's boss owe her? How much more must her boss pay her to make up the difference?

Answer 1

Sophia's boss owes her $354.20. To calculate the amount, we need to determine her regular pay and her overtime pay. Her regular pay is $525, and her overtime pay is $135.

Step-by-step explanation:

To calculate how much Sophia's boss owes her, we need to determine her regular pay and her overtime pay. Sophia worked 35 regular hours and 6 overtime hours (41 total hours - 35 regular hours) last week. Her regular pay is calculated by multiplying her regular hours (35) by her hourly rate ($15/hour): $15/hour * 35 hours = $525. Her overtime pay is calculated by multiplying her overtime hours (6) by her overtime rate (time-and-a-half of her regular rate, which is $15/hour * 1.5 = $22.50/hour): $22.50/hour * 6 hours = $135. The total amount Sophia should have received is her regular pay plus her overtime pay: $525 + $135 = $660.

To determine how much more Sophia's boss must pay her to make up the difference, we subtract the incorrect gross pay she received (305.80) from the correct total amount she should have received ($660): $660 - $305.80 = $354.20. Therefore, Sophia's boss owes her $354.20.