Order KöMaL! Competitions Portal

K. 163. A team of eight members is paid 224 000 forints (Hungarian currency, HUF) for doing a certain job. The leader of the team (one of the eight members) gets 7 000 forints more than the average pay per member. Given that all the other members get the same amount, calculate how the sum is divided by the members of the team.

(6 points)

This problem is for grade 9 students only.

Deadline expired on 10 April 2008.

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

Megoldás: Az átlagkeresetet úgy kapjuk, hogy a brigád összes jövedelmét, ami jelenleg 224 000 Ft, elosztjuk a tagok számával, azaz 8-cal. Így az átlagkereset 28 000 Ft-ra jön ki. A brigádvezető ehhez képest 7000-rel többet kap, tehát ő 35 000 Ft-ot kap. Így a többieknek 1000-1000 Ft-tal kevesebb marad, tehát ők 27 000 Ft-ot kapnak kézhez.

Statistics on problem K. 163.
 158 students sent a solution. 6 points: 69 students. 5 points: 12 students. 4 points: 4 students. 3 points: 3 students. 2 points: 1 student. 1 point: 2 students. 0 point: 64 students. Unfair, not evaluated: 1 solution. Unfair, not evaluated: 2 solutions.

• Problems in Mathematics of KöMaL, March 2008

•  Our web pages are supported by: ELTE Morgan Stanley