1510.43 – Ftatateeta's Scarabs


When Ftatateeta died, her will instructed that her massive collection of 1560 scarabs was to be divided among her sister and her sister's 5 sons and 3 daughters, as follows. Each son gets half as much as a daughter gets, and the sister gets twice what a daughter gets.

Tell how many scarabs go to each.


Solution

If the daughter gets d, a son gets d/2, and the sister gets 2d.

3d + 5(d/2) + 2d = 1560; the solution follows along.

The daughter gets 208 scarabs, each son gets 104, and the sister scores 416.

(You can google Ftatateeta.)