This week's maths problem

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Problem of the week

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On Friday of each week we will post a new maths challenge.
You may submit your solution by the following Thursday.
Each problem contains two different levels of difficulty. You will be awarded from 2 to 12 points for a full answer.
Each series contains 12 problems before the stage winner is determined.
Your score will be published here.

In each series we will give away 3 books as prices. The prices will be drawn by lot among the best ten participants of the series. The books are kindly sponsored by Buchdienst Rattei of Chemnitz.

Suggestions for problems are welcome.

Deadline is 27th. March 2025

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Series 69

problem 817

Logic task
Lisa sat on the jury that had to judge the works in an art competition. It wasn't easy, there was a long struggle to decide the top five places. These five each received a    pecial prize and an offer to attend a holiday course at an art school. Bettina, Egon, Helmut, Kerstin and Marion made it to the final five. Various techniques were used. (Watercolour, charcoal drawing, woodcut, oil paints and a work in clay were included. The titles of the works were: Flowers of Hope, Victory, Ice Age, Labyrinth in Space and Space Time.
Lisa shows her friends her notes:
1. the ‘Flowers of Hope’ were made as a woodcut.
2) Third place went to a boy.
3. the charcoal drawing - which was not by Egon - did not come fifth.
4) Kerstin took part with the work ‘The Victory’.
5) The watercolour painting was chosen as the best work.
6 Marion took 4th place.
7th Bettina had used the oil colours. She had not painted the ‘Ice Age’. Her placing was directly in front of the work ‘Raumzeit’. Spacetime’ was not by Helmut.
Who got which place. What were the names of the respective works and what material was used for the works? 6 blue points
name | Material | Titel | place
Bettina
Egon
Helmut
Kerstin
Marion
‘Is there any more information about the winners yet?’ asked Mike. ‘Absolutely.’ The courses at the art schools last 5, 7, 10, 15 and once even 20 days. The schools are located in Coburg, Flensburg, Cologne, Halle and Potsdam. The 5 prizewinners Bettina, Egon, Helmut, Kerstin and Marion will receive a scholarship of 400, 700, 800, 1200 and 2000 euros respectively for the duration of the programme. The scholarship includes accommodation, materials and travelling expenses.
1. 700 euros for the course, which lasts 5 days. This course does not take place in
Flensburg. The 10-day course is not in Flensburg either.
2 Marion was in Halle.
3. the course in Coburg lasts 7 days.
4. the course in Potsdam was subsidised with 800 euros and did not last 20 days.5. Bettina received the grant of 2000 euros, but the course was not as long as the
one in Cologne.
6. Kerstin's course was exactly 10 days longer than the course that was supported with 1200 euros.
7. Egon was not in Potsdam.
How long were the courses for the award winners? Where did the courses take place and how ma<<ny euros were used to support them? 6 red pointscourse | duration | Name city |amount of scholarship
5 Tage
7 Tage
10 Tage
15 Tage
20 Tage
Deadline for solution is the 27th. March 2025.

Deadline for solution is the 27th. March 2025.
 

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