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?
This problem is for grade 9 students only.
Deadline expired on 10 December 2014.