CEMC Cayley, 2004

Algebra Difficulty 1.0 Junior Find the answer Canada

An archery target has 3 regions, each worth a different value if it is hit. Three archers shoot two arrows each and record scores as follows:

First archer: 1 arrow in $C$ and 1 arrow in $A$ for a score of 15 points
Second archer: 1 arrow in $C$ and 1 arrow in $B$ for a score of 18 points
Third archer: 1 arrow in $B$ and 1 arrow in $A$ for a score of 13 points

If a fourth archer shoots 2 arrows into ring $B$ , her score is

(A) $10$ (B) $14$ (C) $16$ (D) $18$ (E) $20$

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