An employment agency specializing in temporary construction help pays heavy equipment operators $138 per day and general laborers $87 per day. if thirty-three people were hired and the payroll is $4044? How many heavy equipment operators were employed? How many laborers were employed?
Accepted Solution
A:
Answer:L = 2, O = 31Step-by-step explanation:First using the givens, write out some formulas. Heavy equipment operators = OGeneral laborers = LO + L = 33138O + 87L = 4044Now use substitution, it doesn't matter which one you substitute.O = -L +33138( -L + 33 ) + 87L = 4044Distribute and solve for L.-138L + 4554 + 87L = 4044-138L - 87L = 4044 - 4554-225L = -510L = -510/-225L = 2L = 2, meaning number of laborers employed is 2.Now plug 2 = L into one of the original equations.O + L = 33O + 2 = 33O = 33 - 2O = 31O = 31, meaning number of heavy equip. operators employed is 31.