The number of red, blue, and green marbles in a bag is in the ratio 3 : 4 : 6.…

2025

The number of red, blue, and green marbles in a bag is in the ratio 3 : 4 : 6. If 20 red marbles, 15 blue
marbles, and an unknown number of green marbles are added to the bag, the ratio of red, blue, and green marbles
becomes 4 : 5 : 7. Determine the number of green marbles added.

  1. A.

    3

  2. B.

    5

  3. C.

    7

  4. D.

    9

Attempted by 13 students.

Show answer & explanation

Correct answer: B

Let the initial numbers of red, blue and green marbles be 3x, 4x and 6x. From (3x + 20):(4x + 15) = 4:5, x = 40. The new red count is 140, so one part is 35 and the final green count should be 7 x 35 = 245. Initial green count is 240, so 5 green marbles were added.

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