Kate has a summer job as a swim instructor to earn her college tuition. she gets paid $8 an hour for the first 40 hours and $12 per hour for each hour in the week worked over 40 hours. kates goal is to earn at least $380 per week. how many hours of overtime per week will she need to achieve her goa. show all work

Alright here's the breakdown
take ($8) and (40hr.) and multiply them (8 x 40)
which should equal 
$320 
but that's not enough
so
we need to add some hours
so 
take the numbers like this ($380-$320)
which should equal
$60
now
take ($60) and divide it by the overtime pay ($12 per hr.) 
which equals
the number of overtime hours needed to achieve her goal
which is
(5 hr.) 
which is your answer
hope this helps!