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K. 433. We have four objects that look all alike, but weigh 3, 5, 8 and 11 kg. We also have an equal-arm balance without extra weights.

$\displaystyle a)$ By using the balance only twice, how can we identify the 11-kg object?

$\displaystyle b)$ With two further measurements, how can we determine the masses of the other objects, too?

(6 points)

This problem is for grade 9 students only.

Deadline expired on 10 December 2014.

Statistics on problem K. 433.
 122 students sent a solution. 6 points: 86 students. 5 points: 5 students. 4 points: 1 student. 3 points: 3 students. 2 points: 17 students. 1 point: 3 students. 0 point: 5 students. Unfair, not evaluated: 2 solutions.

• Problems in Mathematics of KöMaL, November 2014

•  Támogatóink: Morgan Stanley