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Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Anna, Bea and Cili went to a store to buy pens and rulers. Each of them bought exactly 10 items in total. Anna bought twice as many pens as Cili bought rulers. Bea bought twice as many pens as Anna bought rulers. Altogether, the girls bought an even number of rulers. How many pens did Bea buy?

(A) $2$ (B) $4$ (C) $6$ (D) $7$ (E) $8$

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