Mysterious Missing Marbles

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Sophie has a box of red, blue, and green marbles.

She has twice as many red marbles as green marbles.

She has 6 more blue marbles than red marbles.

Altogether, she has 54 marbles.

How many marbles of each colour does Sophie have?

Comments

  1. Rithvik16 September 2025 at 06:02

    Let the number of green marbles be x.

    Then:

    Red marbles = 2x

    Blue marbles = 2x + 6

    Now add them all up:
    x (green) + 2x (red) + (2x + 6) (blue) = 54
    x + 2x + 2x + 6 = 54
    5x + 6 = 54
    5x = 48
    x = 9

    Now calculate each:

    Green marbles = x = 9

    Red marbles = 2x = 18

    Blue marbles = 2x + 6 = 24

    Final Answer:

    Green marbles: 9

    Red marbles: 18

    Blue marbles: 27

    ReplyDelete

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