SOLUTION: An employment agency specializing in temporary construction help pays heavy equipment operators $ 120 per day and general laborers $ 98 per day. If thirty people were

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Question 1022095: An employment agency specializing in temporary construction help pays heavy equipment operators $ 120

per day and general laborers $ 98

per day. If thirty

people were hired and the payroll was $ 3556

how many heavy equipment operators were​ employed? How many​ laborers?

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the numbers of heavy equipment operators and general laborers hired, x and y. Then we write
x + y = 30 and
120x + 98y = 3556
Now multiply the top equation by 120 and subtract and we get
120x + 98y = 3556
-(120x + 120y = 3600)
----------------------
-22y = - 44
y = 2 general laborers
That means there were
x = 28 heavies