Question

Sayed is paid $8.50 per hour for a standard 36-hour week. He is paid time-and-a-half" for all overtime worked. Calculate:

1 $
his
gross weekly earnings if he works 4 hours overtime
b
the hours overtime worked if he earns $420.75 for the week.
a​

Answer 1

Explanation:

Expression of Sayed weekly earnings = 8.50t + (1.5)(8.50)p = 8.50t + 12.75p

where t is the number of hours worked regularly and p is number of hours worked overtime.

Part 1)

Given t = 36 and p = 4,

Gross Weekly earnings = 8.50(36) + 12.75(4)

= 306 + 51

=$357

Part 2)

Given Gross weekly earnings = $420.75 and t=36,

8.50(36) + 12.75p =420.75

306 + 12.75p = 420.75

12.75p = 420.75-306

12.75p = 114.75

p = 114.75÷12.75

p=9