## Cayley 2023 Part B - Question 14, CEMC UWaterloo

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#### Difficulty: 3

#### This problem is tagged with cayley, cayley23, highschool.

**(Cayley 2023, Part B, Question 14, CEMC - UWaterloo)**

Points $A$, $B$, $C$, and $D$ are on a line in that order.

The distance from $A$ to $D$ is $24$.

The distance from $B$ to $D$ is $3$ times the distance from $A$ to $B$.

Point $C$ is halfway between $B$ and $D$.

What is the distance from $A$ to $C$?

$(A)$ $12$

$(B)$ $8$

$(C)$ $16$

$(D)$ $9$

$(E)$ $15$

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