Question 123418
Since there are 24 total workers, we can conclude that {{{x+y=24}}} (x represents the number of skilled workers and y represents the number of unskilled workers). In addition, since the total cost of paying off the workers is $405.00, we can also conclude that {{{25x+12y=405}}}. (We put 25 next to x because we are paying the skilled workers $25.00. We put 12 next to y because we are paying the unskilled workers with $12.00.) Now that we have two system of equations, we can use any method to solved it. For the sake of easines, I will solve the equation using substitution.

{{{x+y=24}}}
{{{25x+12y=405}}}
Solve for y in the first equation.
{{{y=24-x}}}
Plug they in the second equation.
{{{25x+12(24-x)=405}}}
Solve for x.
{{{x=9}}}
Plug x in the first equation.
{{{(9)+y=24}}}
Solve for y.
{{{y=15}}}
Solutions:
{{{x=9}}}and{{{y=15}}}

In conclusion, there are 9 skilled and 15 unskilled workers.