Supervisor a earns a flat rate of $25 per hour, while supervisor b earns $20 per hour for the first 30 hours and then 50% more f

Question

3 years ago

8

Supervisor a earns a flat rate of $25 per hour, while supervisor b earns $20 per hour for the first 30 hours and then 50% more f

or each additional hour within a work week. if both supervisors worked the same number of hours and earned the same pay during one work week, how many hours did each supervisor work in that week?

Mathematics

1 answer:

mixas84 [53] · Answer 1 · 2021-12-22T06:50:55+03:00

Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.