The prize is $ x.

The first person (Alex) gets half of what the second person (Beatrice) gets.

Let's assume Alex gets $ P.

Beatrice gets double what Alex gets. So, Beatrice gets $ 2P.

The third person (Charlie) gets twice as much as the second person (Beatrice).

If Beatrice gets $ 2P, then Charlie gets $ 2P x 3 (which is equal to $ 6P).

Summary:

Alex: P

Beatrice: 2P

Charlie: 6P

x = P + 2P... more

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