Kate has a summer job as a swim instructor to earn her college tuition.She gets paid $8 per hour for the first 40 hours and $12 per hour for each hour...

Let x be
the number of over time hours.

The working equation is:

8
(40) + 12 (x) = 380          Simplify 8 (40).

320 + 12x = 380                
 Move 320 to the other side to combine

           12x = 380 - 320      
 similar terms then simplify.

           12x = 60                    Divide
both sides by 12..

               x = 5 hours

Therefore,
she needs 5 hours more to achieve her goal.