SOLUTION: You are calculating payroll. Your company has 45 employees who work 40 hours a week and earn $17/hour. 14 employees each worked 6 hours of overtime at 50% above their hourly rate.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: You are calculating payroll. Your company has 45 employees who work 40 hours a week and earn $17/hour. 14 employees each worked 6 hours of overtime at 50% above their hourly rate.      Log On


   

Question 1037855: You are calculating payroll. Your company has 45 employees who work 40 hours a week and earn $17/hour. 14 employees each worked 6 hours of overtime at 50% above their hourly rate. What percentage of the total payroll that week was overtime pay? Answer choices: 2.3%, 4.5%, 6.5%, 7%.
I don't have a clue.
Thanks!
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
45 employees worked 40 hours at 17 dollars per hour for a total of 30600.
14 employees worked 6 hours more at 50% above their hourly rate.
therefore 14 employees worked 6 hours at 17 * 1.5 dollars per hour for a total of 14 * 6 * 17 * 1.5 = 2142.
the total payroll expense for the week was 30600 + 2142 = 32742.
the percent of the total payroll for the week that was overtime pay was 2142 / 32742 = .065425607 * 100 = 6.5425607% which can be rounded to 6.5%.

regular hours are paid at 17 dollars per hour.
overtime hours are paid at 17 + .5 * 17 = 25.5 dollars per hour.
45 * 40 * 17 + 14 * 6 * 25.5 = 32742.
regular hours component is 45 * 40 * 17 = 30600.
overtime hours component is 14 * 6 * 25.5 = 2142
percent overtime component divided by total = 2142/32742 * 100 = 6.5% rounded to 1 decimal digit.