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Bags #1, #2, #4, and #5 together contain 82 marbles.
Therefore, Bag #3 must contain 18 marbles. With
that piece of information, you can figure out how
many marbles the other bags contain:
You know Bag #2 and Bag #3 = 43 marbles; you
know Bag #3 = 18 marbles; therefore, Bag #2 contains
25 marbles.
You know that Bag #1 and Bag #2 = 52 marbles;
therefore, Bag #1 contains 27.
You know Bag #3 and Bag #4 = 34 marbles; you
know Bag #3 = 18 marbles; therefore, Bag #4 contains
16 marbles.
You know that Bag # 4 and Bag #5 = 30 marbles;
you know that Bag #4 contains 16 marbles; therefore,
Bag #5 contains 14 marbles.
From Bernardo Recamán
Santos, Challenging Brainteasers: Official American
Mensa Puzzle Book. New York: Sterling Publishing
Co., Inc. Originally published in Colombia by
Editorial Norma S.A. under the title Juegos y
Acertijos para la Enseñanza de las Matemáticas.
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