Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 37. (March 2005)

K. 37. At the confectioner's, we bought 5 pieces of candy in a paper bag, and 10 pieces in another, identical bag. (Each piece of candy has the same mass.) The first bag was weighed to be 85 grams and the second one 165 grams. How much did we pay for a paper bag if the candy cost 1200 forints (HUF) a kilo.

(6 pont)

Deadline expired on April 11, 2005.

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

Megoldás. A két zacskó tömegének különbsége 5 szem cukor tömegét jelenti. Tehát 5 szem cukor tömege 80 gramm, így a zacskóé 5 gramm. Mivel a zacskót is tömege alapján, a savanyú cukor kilónkénti árából kiindulva fizetjük ki, annyit kell fizetnünk érte, amennyit 5 gramm savanyú cukorért, azaz 6 Ft-ot.


133 students sent a solution.
6 points:120 students.
5 points:1 student.
4 points:2 students.
2 points:1 student.
0 point:6 students.
Unfair, not evaluated:3 solutions.

Problems in Mathematics of KöMaL, March 2005