please math help thanks

Question

you are paid 10.65/hr. your deductions are FICA (7.65%) federal tax withholding (9.9%) and state tax withholding are 493.68/month. how many hours per month must you work to be sure those expenses are paid?

can you explain so i don't have to ask the same question 

Answer 1

 

Answer: Total hours to work : 46.35 hours/month

FICA: 11.53 hrs = $10.65/92.35%

Federal Tax: 11.82 hrs = $10.65/90.1%

State tax withholding: 23.00 hrs  = $10.65/49.62%

 

 

 

 

Answer 2

0=$10.65*h-$493.68-17.55%(10.65h) where h=# of hours worked and 17.55%=7.65%+9.9%

0=$10.65h-$493.68-0.1755(10.65h)

0=$10.65h-$493.68-1.869075h

0=-493.68+8.780925h

493.68=8.780925h

h=493.68/8.780925

h=56.22 hours approx. worked each month to pay these expenses