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2004 AMC 10B Problem 14

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2004 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Ratios, Percents & Averages · difficulty 2 of 5 · about 2 min · position P11-15

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 13\frac{1}{3} of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 15\frac{1}{5} of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?

  1. A)

    15\frac{1}{5}

  2. B)

    14\frac{1}{4}

  3. C)

    13\frac{1}{3}

  4. D)

    25\frac{2}{5}

  5. E)

    12\frac{1}{2}

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