SOLUTION: an employment agency specializing in temporary help pays $129 per day and general laborers $82 per day. if thirty-one people were hired and the payrolll was $3952. how many heavy o
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Question 619206: an employment agency specializing in temporary help pays $129 per day and general laborers $82 per day. if thirty-one people were hired and the payrolll was $3952. how many heavy operators were employed? how many laborers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
an employment agency specializing in temporary help pays $129 per day and general laborers $82 per day.
if thirty-one people were hired and the payroll was $3952.
how many heavy operators were employed? how many laborers?
:
Let a = no. of operators
Let b = no. of laborers
:
Total people equation:
a + b = 31
b = (31-a), we can use this form for substitution
:
Total payroll equation
129a + 82b = 3952
substitute (31-a) for b
129a + 82(31-a) = 3952
129a + 2542 - 82a = 3952
129a - 82a = 3952 - 2542
47a = 1410
a = 1410/47
a = 30 operators
then
31 - 30 = 1 laborer
:
:
See if that checks out
129(30) + 82(1) =
3870 + 82 = 3952, seems to be correct
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