amy is paid time and a half for hours worked in excess of 40 hours and double time for hours worked on sunday. If her weekly wage was $342 for working 50 hours, 4 of which were on sunday, what is her regular hourly rate?
let her regular hourly rate be $R
40 R + 4(2R) + 6(1.5) = 342
57R = 342
R = 6
To find Amy's regular hourly rate, we can follow these steps:
Step 1: Calculate the number of hours worked in excess of 40 hours.
Since Amy worked 50 hours in total and 40 hours are considered regular hours, the number of hours worked in excess of 40 hours is 50 - 40 = 10 hours.
Step 2: Calculate the additional pay for the excess hours.
Amy is paid time and a half for hours worked in excess of 40 hours. So, for the 10 excess hours she worked, she receives 1.5 times her regular hourly rate.
Step 3: Calculate the additional pay for working on Sunday.
Amy receives double time for hours worked on Sunday. She worked 4 hours on Sunday, so she receives 2 times her regular hourly rate for these hours.
Step 4: Calculate Amy's total additional pay.
To calculate Amy's total additional pay, we add the additional pay for the excess hours and the additional pay for working on Sunday:
Additional pay for excess hours = 10 hours * 1.5 * regular hourly rate
Additional pay for Sunday hours = 4 hours * 2 * regular hourly rate
Step 5: Calculate Amy's total weekly wage.
Amy's total weekly wage is the sum of her regular pay and additional pay:
Total weekly wage = regular hourly rate * 40 hours + additional pay
Now we can set up an equation using this information:
Total weekly wage = regular hourly rate * 40 hours + (10 hours * 1.5 * regular hourly rate) + (4 hours * 2 * regular hourly rate)
Given that her total weekly wage is $342, we can solve this equation to find her regular hourly rate.