Mary earns $5.50 per hour, time-and-a-half for overtime, and 4%
commission on gross sales. What were her earnings the week she
worked 47 hours and sold $3,500 worth of goods?
a. $393
b. $423.25
c. $417.75
d. $406.50
First, let's calculate Mary's earnings from her regular hours:
Regular hours = 47 - (overtime hours)
Regular pay = $5.50/hour
Overtime pay = $5.50/hour * 1.5 = $8.25/hour
To find the overtime hours, we know that Mary worked 47 hours and that any hours over 40 count as overtime. So:
Overtime hours = 47 - 40 = 7
Therefore, Mary worked 40 regular hours and 7 overtime hours.
Regular earnings = 40 regular hours * $5.50/hour = $220
Overtime earnings = 7 overtime hours * $8.25/hour = $57.75
Now let's calculate Mary's earnings from her commission:
Commission rate = 4%
Sales = $3,500
Commission earnings = 4% * $3,500 = $140
Finally, we can add up all of Mary's earnings:
Total earnings = Regular earnings + Overtime earnings + Commission earnings
Total earnings = $220 + $57.75 + $140
Total earnings = $417.75
Therefore, Mary's earnings for the week she worked 47 hours and sold $3,500 worth of goods were $417.75. Answer choice (c) is correct.