5. The master and his assistant received 197200 SIT for the completed work. The master's daily wage is $56.5\%$ higher than the assistant's daily wage. How much did each earn if the master worked for 20 days and the assistant for 18 days? Write down your answer.

Solve each problem independently on the attached paper, and each problem on its own page.

Do not sign the sheets, write only your code.

Write your answers with a pen clearly and neatly. Each problem's solution will be graded from 0 to 6 points.

## You have $120 \mathrm{~min}$ for solving.

THE NATIONAL COMPETITION COMMITTEE WISHES YOU GREAT SUCCESS.

6th national mathematics competition for students of secondary technical and vocational schools Kranj, April 22, 2006

## PROBLEMS FOR 2nd GRADE
5. Let $x$ be the daily wage of the assistant. Then the daily wage of the master is $1.565x$. According to the problem, we set up the equation $20 \cdot 1.565 x + 18 x = 197200$. The solution to the equation is $x = 4000$. The received payment for the work done by the assistant is 72000 SIT, and for the master it is 125200 SIT.

The expression for the master's daily wage is $x + 0.565 x = 1.565 x \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots$

![](https://cdn.mathpix.com/cropped/2024_06_07_59669f975316a35884bfg-07.jpg?height=52&width=1636&top_left_y=1933&top_left_x=210)

![](https://cdn.mathpix.com/cropped/2024_06_07_59669f975316a35884bfg-07.jpg?height=45&width=1639&top_left_y=1985&top_left_x=208)

Answer $1+1$ point

## Second Year