1. In a company, there are 150 employees. The director receives a monthly salary of 12000 euros, three senior colleagues 5000 euros, the 12 lowest-paid workers earn 500 euros, and the remaining workers earn either 1500 or half of that amount. How many employees earn 1500 euros monthly and how many earn half as much, if the average monthly salary is 1010 euros?
1. Let $x$ be the number of employees earning 1500 and $y$ be the number of employees earning 750 euros. We write the equations $1+3+12+x+y=1500$ and $\frac{12000+3 \cdot 5000+12 \cdot 500+x \cdot 1500+y \cdot 750}{150}=1010$. We simplify the equations and get the system $x+y=134, 2x+y=158$. We solve the system and get the solutions $x=24, y=110$. We write the answer: 24 workers earn 1500 euros, and half as many, 110 workers, earn 750 euros.

$x$ the number of employees earning 1500

$y$ the number of employees earning 750 euros.

![](https://cdn.mathpix.com/cropped/2024_06_07_2b0bf3255e176946d93cg-10.jpg?height=54&width=1639&top_left_y=2015&top_left_x=206)

![](https://cdn.mathpix.com/cropped/2024_06_07_2b0bf3255e176946d93cg-10.jpg?height=63&width=1639&top_left_y=2059&top_left_x=206)

![](https://cdn.mathpix.com/cropped/2024_06_07_2b0bf3255e176946d93cg-10.jpg?height=49&width=1636&top_left_y=2123&top_left_x=210)

![](https://cdn.mathpix.com/cropped/2024_06_07_2b0bf3255e176946d93cg-10.jpg?height=48&width=1636&top_left_y=2166&top_left_x=207)

![](https://cdn.mathpix.com/cropped/2024_06_07_2b0bf3255e176946d93cg-10.jpg?height=55&width=1639&top_left_y=2217&top_left_x=206)

Written answer ...............................................................................................