Problem

Ch. 4.3 < Question 2, 4.3.3 HW Score: 0\%, 0 of 11 points Points: 0 of 1 Save $K$ 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

Solution

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 \(\boxed{11}\).

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