An employment agency specializing in temporary construction pays heavy equipment operators $133 per day and general laborers $81 per day. if thirty people were hiredand the payroll was $3314 how many heavy equipment operators were employed? how many laborers?

For this case, the first thing we must do is define variables.

We have then:

x: number of heavy equipment operators

y: number of general laborers

We write the system of equations that models the problem:

From here, we clear the value of the unknowns.

From equation two we have:

Substituting in equation 1 we have:

Then, the value of y is:

were employed:

heavy equipment operators: 17

general laborers: 13

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft