To solve this problem you must apply the proccedure shown below:
1. Let's call [tex] x [/tex] to the number of equipment operators and [tex] y [/tex] to the numbers of laborers.
2. Based on the information given in the problem above, you can make a system of equation, as following:
[tex] \left \{ {{129x+100y=3751} \atop {x+y=32}} \right. [/tex]
3. By applying the method of substitution, you can solve for [tex] x [/tex] from the second equation and substitute it into the first equation to solve for [tex] y [/tex], as following:
[tex] x=32-y\\ 129(32-y)+100y=3751\\ y=\frac{-377}{-29} \\ y=13 [/tex]
4. Now, substitute the value of [tex] y [/tex] into the second equation to calculate [tex] x [/tex]:
[tex] x=32-13\\ x=19 [/tex]
The answer is: 19 equipment operators and 13 laborers.
