Question

An employment agency specializing in temporary construction help pays heavy equipment operators

$ 135
per day and general laborers
$ 89
per day. If thirty-three
people were hired and the payroll was
$ 3949
how many heavy equipment operators were​ employed? How many​ laborers?


The number of heavy equipment operators hired was ____
The number of general laborers hired was ____

Answer 1

The answer is:
Number of heavy equipment operators = 22
Number of general laborers = 11
The question can be solved by proposing a system of equations, where:
Ep= number of heavy equipment operators.
Tg= number of general labored.
We have two equations, the first is the cost of hiring heavy equipment operators and general workers.

135Ep+89Tg=3949.


The second is the number of operators of heavy equipment and general workers that will be contracted. The total is 33.

Ep+Tg=33.

Solving the system of equations we have the answer is:

Ep=22.
Tg=11.

Answer 2

Answer:
Number of heavy equipment operators hired were 22
Number of general laborers hired were 11

Step-by-step explanation:
Assume that number of heavy equipment operators hired is x and that number of general laborers is y.

We are given that:
1- Total number of hired people is 33. This means that:
x + y = 33
This can be rewritten as:
x = 33 - y ...........> equation I
2- heavy equipment operators are paid $135, general laborers are paid $89 and that the total payment was $3949. This means that:
135x + 89y = 3949 ............> equation II

Substitute with equation I in equation II and solve for y as follows:
135x + 89y = 3949
135(33-y) + 89y = 3949
4455 - 135y + 89y = 3949
506 = 46y
y = 506 / 46
y = 11

Substitute with y in equation I to get the value of x as follows:
x = 33 - y
x = 33 - 11
x = 22

Hope this helps :)