SOLUTION: An employment agency specializing in temporary construction help pays heavy equipment operators $ 124 per day and general laborers $ 95 per day. If forty people were hir

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Question 1037078: An employment agency specializing in temporary construction help pays heavy equipment operators
$ 124
per day and general laborers
$ 95
per day. If
forty
people were hired and the payroll was
$ 4351
how many heavy equipment operators were​ employed? How many​ laborers?

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Forty people were employed.
x + y = 40..........(1)
The payroll was $4351
124x + 95y = 4351......(2)
...................
x + y = 40..........(1)
124x + 95y = 4351......(2)
Multiply Eq(1) by 95
95x + 95y = 3800......(1)
124x + 95y = 4351.....(2)
Subtract Eq(2) from Eq(1)
-29x = -551
x = 19.
Substitute x = 19 into
Eq(1)
x + y = 40 .....(1)
19 + y = 40
y = 40 - 19
y = 21.
Heavy equipment operators = 19
Labourers = 21
Hope this helps :-)