Problema Solution

an employment agency pays heavy equipment operators $134 per day and general laborers $94 per day. If 35 people were hired and the payroll was $4306, how many heavy equipment operators were employed? How many laborers?

Answer provided by our tutors

let


e = the number of equipment operators, e is non-negative integer

g = the number of general laborers, g is non-negative integer


35 people were hired


e + g = 35


the payroll was $4306


134e + 94g = 4306 divide both sides by 2


67e + 47g = 2153


by solving the system of equations


e + g = 35

67e + 47g = 2153


we find


e = 25.4


g = 9.6


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we got non-integer roots this means that maybe the numbers in the problem's text are not right because we can not have rational numbers of workers working.