Ch. 4.3
< Question 2, 4.3.3
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An employment agency specializing in temporary construction help pays heavy equipment operators $\$ 134$ per day and general laborers $\$ 98$ per day. If thirty-three people were hired and the payroll was $\$ 4026$, how many heavy equipment operators were employed? How many laborers?
The number of heavy equipment operators hired was The number of general laborers hired was

Step 1 ：Let's denote the number of heavy equipment operators as \(x\) and the number of general laborers as \(y\).

Step 2 ：We have two equations based on the information given in the problem:

Step 3 ：1. \(x + y = 33\) (since 33 people were hired)

Step 4 ：2. \(134x + 98y = 4026\) (since the total payroll was $4026)

Step 5 ：We can solve these equations simultaneously to find the values of \(x\) and \(y\).

Step 6 ：Solving the equations, we get \(x = 22\) and \(y = 11\).

Step 7 ：Final Answer: The number of heavy equipment operators hired was \(\boxed{22}\) and the number of general laborers hired was \(\boxed{11}\).