SOLUTION: A factory employs skilled labores at 25 an hour and un skilled at 12 an hour. The hourly cost of the factorys 24 workers is $405. Howmany of each type of laborer works at the facto

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Question 123418: A factory employs skilled labores at 25 an hour and un skilled at 12 an hour. The hourly cost of the factorys 24 workers is $405. Howmany of each type of laborer works at the factory?
Answer by johnnico6426(16) About Me  (Show Source):
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Since there are 24 total workers, we can conclude that x%2By=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%2B12y=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%2By=24
25x%2B12y=405
Solve for y in the first equation.
y=24-x
Plug they in the second equation.
25x%2B12%2824-x%29=405
Solve for x.
x=9
Plug x in the first equation.
%289%29%2By=24
Solve for y.
y=15
Solutions:
x=9andy=15
In conclusion, there are 9 skilled and 15 unskilled workers.