SOLUTION: thirty buliding operatives employed on a construction site work a 37 hour week. if the 30 operatives comprise tradesmen earning �4.75/ hour and labourers earning �4.25/ hour, how

Question 557023: thirty buliding operatives employed on a construction site work a 37 hour week. if the 30 operatives comprise tradesmen earning �4.75/ hour and labourers earning �4.25/ hour, how many tradesmen and how many labourers are there if the weekly bill is �5124.50. using matrices?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let be the number of tradesmen and be the number of laborers.
and
---> (multiplying both sides times 4 to get rid of decimals)

=
Now you have your matrices:
=
= , and
=
The equation with matrices is

Now you have to find the inverse matrix and calculate
=
Whichever way you were taught to calculate it
= and
= =
= =
So the number of tradesmen is , and
the number of laborers is .
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