An employment agency specializing in temporary construction help pays heavy equipment operators $124 per day and general laborers $99 per day. If thirty-three people were hired and the payroll was $3817, how many heavy equipment operators were employed? How many laborers?

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An employment agency specializing in temporary construction help pays heavy equipment operators  $124 per day and general laborers  $99 per day. If thirty-three people were hired and the payroll was  $3817, how many heavy equipment operators were employed? How many laborers?

Bytelearn · Accepted Answer

Set up equations:  Step 1: Set up the equations based on the given information. Let x be the number of heavy equipment operators and y be the number of general laborers. Equation 1: x + y = 33 (since 33 people were hired) Equation 2: 124x + 99y = 3817 (total payroll calculation)Solve for y:  Step 2: Solve the first equation for y. y = 33 - x Substitute y in Equation 2: 124x + 99(33 - x) = 3817Simplify and solve for x:  Step 3: Simplify and solve for x. 124x + 3237 - 99x = 3817 25x + 3237 = 3817 25x = 3817 - 3237 25x = 580 x = 580 / 25 x = 23.2

An employment agency specializing in temporary construction help pays heavy equipment operators $\$ 124$ per day and general laborers $\$ 99$ per day. If thirty-three people were hired and the payroll was $\$ 3817$ , how many heavy equipment operators were employed? How many laborers?

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