SOLUTION: willie earns $6 an hour for the first 40 hours, then $9 an hour for overtime.How many hours must he work in order to make $375? answer:x=55, willie must work 55 hours. need

Algebra ->  Rate-of-work-word-problems -> SOLUTION: willie earns $6 an hour for the first 40 hours, then $9 an hour for overtime.How many hours must he work in order to make $375? answer:x=55, willie must work 55 hours. need       Log On


   

Question 165560: willie earns $6 an hour for the first 40 hours, then $9 an hour for overtime.How many hours must he work in order to make $375?
answer:x=55, willie must work 55 hours.
need a break down of how my text book got 55 hours or x=55
Found 2 solutions by josmiceli, Mathtut:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = number of hours he must work to make $375
His overtime hours will then be h+-+40
6%2A40+%2B+9%2A%28h+-+40%29+=+375
240+%2B+9h+-+360+=+375
9h+=+-240+%2B+360+%2B+375
9h+=+495
h+=+55
Willie must work 55 hours to make $375
check answer:
6%2A40+%2B+9%2A%2855+-+40%29+=+375
6%2A40+%2B+9%2A15+=+375
240+%2B+135+=+375
375+=+375
OK

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
so the 1st 40 hours is 6(40) to get to total wages of $375 one must add 9T where T is over time hours worked . So lets write this our 6(40)240+9T=375 subtract 240 from each side and you arrive at
9T=135 so T=15 regular hours +T(overtime hours)=Total hours worked
40+15=55 hours worked to make $375