Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 478. (November 2015)

K. 478. Farmer Thomas wanted to buy 4 metres of chain that costs 210 forints (HUF, Hungarian currency) a metre. The shop assistant tried to talk him into buying all the 10 metres they have in stock, but Farmer Thomas insisted on buying 4 metres only. However, he noticed that the assistant, on purpose, made a mistake in measuring the 4 metres, and cut off a shorter piece. Therefore he decided to ask for the other piece instead, which the assistant had to sell him for the price of 6 metres in order to avoid being caught cheating. Had he not noticed the cheating, it would have cost Farmer Thomas 14/9 as much to buy a metre of chain as it actually cost with this clever manoeuvre. How many metres of chain did Thomas get?

(6 pont)

Deadline expired on December 10, 2015.


Statistics:

105 students sent a solution.
6 points:61 students.
5 points:7 students.
4 points:3 students.
3 points:2 students.
0 point:30 students.
Unfair, not evaluated:2 solutions.

Problems in Mathematics of KöMaL, November 2015