Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem K. 435. (November 2014)

K. 435. A class of 30 students were given a test. Those passing the test scored 21 points on average. The average score of those failing was 15. The mean score of the whole class was 20. How many students passed the test?

(6 pont)

Deadline expired on December 10, 2014.

### Statistics:

 124 students sent a solution. 6 points: Ágoston Tamás, Balázs Bence, Balog Ádám Márk, Béda Gergely, Csuha Boglárka, Dömötör Emőke, Encz Koppány, Farkas Panka, Földi Anna, János Zsuzsa Anna, Járomi Bence, Korpás Isabel, Kovács 124 Marcell, Kovács Marcell Dorián , Kulcsár Simon, Márton Anna, Németh 962 Ambrus, Németh Csilla Márta, Oravecz Janka Éva, Orbán Sára, Pál 965 Zsigmond, Papp 149 Emese, Paulovics Péter, Perényi Gellért, Péri Gergő Gábor, Pintér 345 Balázs, Pongrácz Edina, Rátkai Petra, Rimai 217 Dániel, Rumi Anna Sára, Rutai Nóra, Sántha 001 Balázs, Sipos Fanni Emma, Sisák László Sándor, Slenker Balázs, Sulok Zsófia Hajnalka, Szarka Álmos, Szőcs Krisztina, Tamási Kristóf Áron, Tószegi Fanni, Tóth Fanni Eszter, Valentiny Anett, Valkó Bence, Varga Tamás László, Veliczky Barnabás, Wenczel Kata. 5 points: 15 students. 4 points: 18 students. 3 points: 35 students. 2 points: 6 students. Unfair, not evaluated: 4 solutions.

Problems in Mathematics of KöMaL, November 2014