Question

Marissa worked 40 hours at her regular rate and 8 overtime hours at time-and-a-half, with a gross pay of $832. What was her hourly rate?

a. $14
b. $16
c. $18
d. $20

Answer 1

B. 16

Explanation:

16 times 40 is 640. She gets paid time and a half for overtime, so the pay gets increased by 1.5, making the 8 hours she worked overtime at 24 an hour. 24 times 8 is 192. 640 plus 192 is 832, which would be her gross after working.

Answer 2

x= normal hourly rate

1.5x = hourly overtime rate

she worked 40 hours at the normal rate, earning 40x

she worked 8h at the overtime rate, she earned 8*1.5x=12x

total salary is 832

we write the equation

40x+12x=832

52x = 832

x=16

normal hourly rate = $16