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K. 99. There are three kind of candies packed in a box, 16 of them altogether. The diagram shows the arrangement of the candies. The total mass of the four ones in the first row is 14 dkg; that of them in the second row is 11 dkg; finally, the total mass of the candies in the first column is 10 dkg. How much is the total mass of the candies in the whole box?

(6 points)

This problem is for grade 9 students only.

Deadline expired on 11 December 2006.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás. A harmadik sor tömege is 11 dkg. Az ismeretlen negyedik sor, továbbá a második, harmadik és negyedik oszlop tömege azonos.

Vagyis 10+3x=14+11+11+x, amiből x=13. A dobozban 49 dkg csokoládé van.

Statistics on problem K. 99.
 258 students sent a solution. 6 points: 187 students. 5 points: 16 students. 4 points: 20 students. 3 points: 13 students. 2 points: 15 students. 1 point: 2 students. 0 point: 3 students. Unfair, not evaluated: 2 solutions.

• Problems in Mathematics of KöMaL, November 2006

•  Támogatóink: Morgan Stanley