SOLUTION: an employment agency specializing in temporary construction help pays heavy equipment operators $139 per day and general laborers $96 per day. If thirty-nine people were hired and

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Question 924993: an employment agency specializing in temporary construction help pays heavy equipment operators $139 per day and general laborers $96 per day. If thirty-nine people were hired and the payroll was $4948, how many heavy equipment operators were employed? How many laborers?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of heavy equipment operators employed
Let +b+ = number of laborers employed
----------------
(1) +a+%2B+b+=+39+
(2) +139a+%2B+96b+=+4948+
--------------------------
Multiply both sides of (1) by +96+
and subtract (1) from (2)
(2) +139a+%2B+96b+=+4948+
(1) +-96a+-+96b+=+-3744+
+43a++=+1204+
+a+=+28+
and
(1) +a+%2B+b+=+39+
(1) +b+=+11+
28 heavy equipment operators were employed
11 laborers were employed
check:
(2) +139%2A28+%2B+96%2A11+=+4948+
(2) +3892+%2B+1056+=+4948+
(2) +4948+=+4948+
OK