The investigation offered this month is called More Beads, and
follows on from
Ituses Excel to run off the
calculated values leaving your mind free to observe and account for
the patterns produced by that process.
A heap of beads was shared out between three people by a
professional bead sharer. The first person got one third, but not
before the bead sharer had taken one bead as commission. The second
person had one third of what remained, but again, after commission
of one bead had been taken by the bead sharer. The third person
also received a one third portion of what remains but, as before,
after commission. Once all three people had received beads the bead
sharer took a final commission of one bead and shared the remaining
beads equally between the three people. There were no beads left
over and no beads were split into fractions. How many beads could
there have been at the start?
For example there could have been 3562 beads. Try it.
You should see 3562 becoming 2374, then 1582, then 1054, and
finally three equal shares of 351.