
Alice says, "I and Barbara have, together, $76."
Barbara comments, "I and Chloe have $140."
Chloe points out, "If Alice were to give me what she has, then I would have $96."
How much money does each of the girls have?
Answer:A=16, B=60, C=80. Translating their statements into algebraic equations,
Adding the three equations,
Now, subtracting each equation in turn from A+B+C=156, we get the following:

See the NEXT puzzle in the Academic Decathlon 2004 Logic Quiz
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