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6 January, 15:16

The ratio of Erick's marbles to Henry's marbles was 3:2. After Erick lost 15 marbles to Henry, the ratio became 2:3. How many marbles did Erick have at first?

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Answers (2)
  1. 6 January, 16:32
    0
    45

    Step-by-step explanation:

    Erick: x

    Henry: y

    X:y=3:2

    (x-15) : (y+15) = 2:3

    2x=3y ...①

    3x-45=2y+30

    3x=2y+75 ...②

    ① * 3 ... 6x=9y

    ② * 2 ... 6x=4y+150

    9y=4y+150

    5y=150

    Y=30

    X=45
  2. 6 January, 18:36
    0
    No. of marbles with Erick at first = 45

    Step-by-step explanation:

    ratio of Erick's marbles to Henry's marbles = 3:2

    No. of marbles with Erick = 3x

    No. of marbles with Henry = 2x

    Erick lost 15 marbles to Henry.

    So, now the no. of marbles with Erick = 3x - 15

    now the no. of marbles with Henry = 2x + 15

    3x - 15 / 2x+15 = 2/3

    3 * (3x - 15) = 2 * (2x + 15) {cross multiplication}

    3*3x - 3*15 = 2*2x + 2*15

    9x - 45 = 4x + 30

    9x - 4x = 30 + 45

    5x = 75

    x = 75/5

    x = 15

    No. of marbles with Erick at first = 3x = 3*15 = 45
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