B4. Tone bought shares of a company last year. He paid 2504 euros for them. He bought some at 26 euros each, and the rest at 18 euros each. If he sold them today, when the price of one share is 21 euros, he would get 2436 euros. How many shares did Tone buy at 26 euros and how many at 18 euros?

(6 points)

Space for solving the tasks of set $B$.

# dMFA 

12th competition in mathematics for students of secondary technical and vocational schools Regional competition, March 28, 2012

## PROBLEMS FOR THE SECOND YEAR

Time for solving: 90 minutes. In set A, we will score a correct answer with two points, while we will deduct half a point for an incorrect answer. Write the answers of set A in the left table.
![](https://cdn.mathpix.com/cropped/2024_06_07_d6b556bd14f8001ca6fag-04.jpg?height=166&width=1192&top_left_y=662&top_left_x=448)
B4. If we denote with $x$ the number of shares bought at 26 euros and with $y$ the number of shares bought at 18 euros, the purchase of shares can be written with the equation $26 x + 18 y = 2504$. If we consider the price of 21 euros and the value of the shares at 2436 euros, we get the total number of shares $x + y = 2436 : 21 = 116$. Solving the obtained system of two linear equations with two unknowns, we get $x = 52$ and $y = 64$.
Writing the equation $x + y = 116$ ..... 1 point
Solution $x = 52$ ..... 1 point
Solution $y = 64$ ..... 1 point
Writing the answer ..... 1 point

## Second Year

## Group A

| A1 | A2 | A3 | A4 | A5 | A6 |
| :---: | :---: | :---: | :---: | :---: | :---: |
| A | C | B | C | A | D |