An employment agency pays heavy equipment operators $130 per day and general laborers $90 per day. A total of 37 people were hired, and the total payroll was $4210. We need to find out how many heavy equipment operators and how many general laborers were hired.

1. Problem Description

An employment agency pays heavy equipment operators $130 per day and general laborers$90 per day. A total of 37 people were hired, and the total payroll was $

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2

1

0. We need to find out how many heavy equipment operators and how many general laborers were hired.

2. Solution Steps

Let $x$ be the number of heavy equipment operators and $y$ be the number of general laborers.

We can set up a system of two equations with two variables:

$x + y = 37$

$130x + 90y = 4210$

We can solve for $y$ in the first equation:

$y = 37 - x$

Substitute this expression for $y$ into the second equation:

$130x + 90(37 - x) = 4210$

$130x + 3330 - 90x = 4210$

$40x = 4210 - 3330$

$40x = 880$

$x = \frac{880}{40}$

$x = 22$

Now, substitute the value of $x$ back into the equation for $y$:

$y = 37 - 22$

$y = 15$

So, there were 22 heavy equipment operators and 15 general laborers.

3. Final Answer

The number of heavy equipment operators hired was

2

2. The number of general laborers hired was 15.