Hey <jyxk>

Following is my worked solution :

Start model with 5 parts as shown:

|--|--|--|--|--|

After one part (1/5) was used, it is left with 4 parts (remainder)

As (1/3) of the remainder was given to Jane (J), then find the common multiple of 3, 4, which is 12. I.e. each of these remaining 4 parts is split or subdivided into 3 units (u), thus forming a total of 12u. Logically, the one part (1/5) that was used is also split into 3u.

Hence the model above will comprise 15u in all.

(1/5) used = 3u

(1/3) of the remainder to J = (1/3) × (12u) = 4u

12u - 4u = 8u

Given Tom(T) was left with 8 balls,

8u --> 8

1u --> 1

Total balls (at first) = 15u --> **15** balls

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Trust this helps.

Do let me know again if there's clarifications.

Cheers,

Edward