SOLUTION: An employment agency specializing in temporary construction help pays heavy equipment operators $129 per day and general laborers $92 per day. if 39 people were hired and the payro

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Question 1113180: An employment agency specializing in temporary construction help pays heavy equipment operators $129 per day and general laborers $92 per day. if 39 people were hired and the payroll was $4624, 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 h.e.o. hired
Let +b+ = number of laborers hired
-------------------------------------
(1) +a+%2B+b+=+39+
(2) +129a+%2B+92b+=+4624+
---------------------------------
Multiply both sides of (1) by +92+
and subtract (1) from (2)
(2) +129a+%2B+92b+=+4624+
(1) +-92a+-+92b+=+-3588+
--------------------------------
+37a+=+1036+
+a+=+28+
and
(1) +a+%2B+b+=+39+
(1) +28+%2B+b+=+39+
(1) +b+=+11+
----------------------------
28 h.e.o's were hired
11 laborers were hired
----------------------------
check:
(2) +129a+%2B+92b+=+4624+
(2) +129%2A28+%2B+92%2A11+=+4624+
You can finish