Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 179. (October 2008)

K. 179. Jack represented on a pie chart what he bought on his money in October. He spent 1500 forints (HUF, Hungarian currency) on lunch, 1000 forints on presents, 1250 forints on movie tickets, 500 forints on hiring films on DVD. His spendings on chewing gum were represented by a 20-degree sector of the pie chart. He had no other expenses in addition to those mentioned above. How much did he spend on chewing gum in October?

(6 pont)

Deadline expired on November 10, 2008.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Ha Jancsi nem rágóra költött zsebpénzét vesszük, akkor ez összesen 4250 Ft-ot jelent, és az ezeket ábrázoló körcikkek összesen 340 fokosak. Tehát 1 foknak 4250:340=12,5 Ft felel meg, vagyis Jancsi rágóra 12,5.20=250 Ft-ot költött októberben.


Statistics:

276 students sent a solution.
6 points:248 students.
5 points:3 students.
4 points:1 student.
2 points:2 students.
1 point:3 students.
0 point:5 students.
Unfair, not evaluated:14 solutions.

Problems in Mathematics of KöMaL, October 2008