MATHS PUZZLE # 15 FROM 12th TO THE 20th OF MARCH

IN HIGH SPIRITS

-In a warehouse 2  different varieties of red wine from the barrel are mixed to obtain an intermediate quality. 

When mixed in the ratio of 3 to 1, the new mixture costs 0.80 € per litre. However, when mixed in the ratio of 2 to 3 the price is 0.856 € per litre. 

Can you find out the price of each variety of wine used in the mixture?

-A container of 15 litres of the above wine contains 3% of water. How much wine should be added so as to have just 2% of water?
You can send your answers to matecampanar@gmail.com
 A READER FOR THE WINNER:CORRECT SOLUTION FROM HUNGARY (KAPOCSI DANI)

WINNERS FOR THE MATHS PUZZLES 2nd YEAR 2nd LEG

We have the winners for the Maths puzzle Competition, second year, second leg:

Radoslav Hanel (Czech Republic)
Swanje Mahncke (Germany)
Szénia Hajós / Daniel Kapocsi (Hungary)
Kevin Montalvà / Mikha Semenov (Spain)

CONGRATULATIONS!!
Each one will receive a certificate and some of them a trophy, donated by CAM. 

MATHS PUZZLE # 14 -from the 21st to the 28th of February

In an old chronicle of the Italian University of Parma, you can read the following text:

“Two years ago the number of students enrolled at this University was a perfect square. Last year, this number grew in 100 units, obtaining a perfect square by adding just one unit. This year we have one hundred students more (100 units) and we have again a number of students which is a perfect square!”.

Which was the number of students on each occasion?

SOLUTION

MATHS PUZZLE # 13 (from the 7th to the 14th of February 2011)

PUZZLE #13.....

SOLUTION PUZZLE # 13

MATH PUZZLE #12 SECOND LEG

(From 24th to the 30th January 2011)


BEING SPORTY 

In a particular school class all the students play some kind of sport: 12 of them play football, 13 play basketball and other 13 play tennis.

There are 3 people who play the three sports, 8 who play football and basketball, 4 who play basketball and tennis and finally 2 who only play football.

a) How many students are there in the class?

b)What is the ratio of students  who ONLY play basketball?  
You can send your answers to matecampanar@gmail.com

SOLUTION
Download Vass Réka's solution from Hungary

MATHS PUZZLE # 11 SECOND LEG

   (From the 10th to the 16th of January 2010) 

Determine a series of 12 natural numbers in which the fourth term is 4, the twelfth term is 12 and the sum of ANY three consecutive terms is 50.

You can send your answers to matecampanar@gmail.com

SOLUTION

The number is: abcdefghijkl

If l = 12 → j+k =38 → i=12 → g+h = 38 → f= 12 →d+e = 38 →e=34 → g = 4 → h = 34 →

j = 4 → k = 34

Because of d+e = 38 → c=12 →b=34 →a =4

Consequently the number is: 4;12;34;4;12;34;4;12;34;4;12;34

-----The next puzzle to be posted on the 23rd of January-----