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    In a bag containing red, green, and pink tokens, the ratio of red to green tokens was 7 : 20, while the ratio of pink to red tokens was 15 : 12.
    Question

    In a bag containing red, green, and pink tokens, the ratio of red to green tokens was 7 : 20, while the ratio of pink to red tokens was 15 : 12. What was the ratio of green to pink tokens?​

    A.

    19 : 12

    B.

    11 : 5

    C.

    16 : 7

    D.

    25 : 7

    Correct option is C

    Given:

    Red : Green = 7:20

    Pink : Red = 15:12

    Solution:
    From Red : Green = 7:20

    G : R = 20 : 7.
    From Pink : Red = 15:12

    R : P = 12 : 15.
    GP=GR×RP=207×1215=240105=167.\frac{G}{P}=\frac{G}{R}\times\frac{R}{P}=\frac{20}{7}\times\frac{12}{15}=\frac{240}{105}=\frac{16}{7}.​​
    Therefore, Green : Pink = 16 : 7.

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