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1963 AMC 12 Question 23

AMC12 · 1963 AMC 12

Question 23

$A$ gives $B$ as many cents as $B$ has and $C$ as many cents as $C$ has. Similarly, $B$ then gives $A$ and $C$ as many cents as each then has. $C$, similarly, then gives $A$ and $B$ as many cents as each then has. If each finally has $16$ cents, with how many cents does $A$ start?
  1. $24$
  2. $26$
  3. $28$
  4. $30$
  5. $32$