Mathematical and Physical Journal
for High Schools
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Problem C. 885. (February 2007)

C. 885. The charge of money withdrawal from an ATM is made up of two terms. There is a flat charge independent of the amount withdrawn and another part that is proportional to it. For 40\;000 forints (Hungarian currency, HUF) withdrawn the charge is 221 forints, and for 100\;000 it is 485 forints. What is the charge for 85\;000 forints?

(5 pont)

Deadline expired on March 19, 2007.


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

Megoldás. Jelölje az alapdíjat a, az arányt pedig p. Ekkor:

(1)221=a+40000p,
(2)485=a+100000p.

(2)-ből (1)-et kivonva:

264=60000p,

és innen p=0,0044.

Ezt visszaírva (1)-be:

221=a+40000.0,0044,

ahonnan a=45.

A keresett érték:

45+85000.0,0044=419.

Tehát 85000 Ft felvétele esetén 419 Ft a költség.


Statistics:

433 students sent a solution.
5 points:402 students.
4 points:16 students.
3 points:5 students.
2 points:1 student.
1 point:4 students.
0 point:4 students.
Unfair, not evaluated:1 solution.

Problems in Mathematics of KöMaL, February 2007