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Norma-Jean [14]
3 years ago
9

An employment agency specializing in temporary construction help pays heavy equipment operators $138 per day and general laborer

s $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?
Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

L = 2,

O = 31

Step-by-step explanation:

First using the givens, write out some formulas.

Heavy equipment operators = O

General laborers = L

  • O + L = 33
  • 138O + 87L = 4044

Now use substitution, it doesn't matter which one you substitute.

  • O = -L +33
  • 138( -L + 33 ) + 87L = 4044

Distribute and solve for L.

  • -138L + 4554 + 87L = 4044
  • -138L - 87L = 4044 - 4554
  • -225L = -510
  • L = -510/-225
  • L = 2

L = 2, meaning number of laborers employed is 2.

Now plug 2 = L into one of the original equations.

  • O + L = 33
  • O + 2 = 33
  • O = 33 - 2
  • O = 31

O = 31, meaning number of heavy equip. operators employed is 31.

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