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14 October, 17:41

Able, Ben and Cal each played a game.

Able's score was six times Ben's score.

Cal's score was a third of Able's score.

Write down the ratio of Able's score to Ben's score to Cal's score.

Write the ratios in their simplest form.

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  1. 14 October, 18:02
    0
    6:1:2

    Step-by-step explanation:

    Let a = Able's score, b = Ben's score, and c = Cal's score.

    Since

    Able's score was 6 times Ben's score, that means a = 6b.

    Cal's score was a third of Able's score, so that means c = a/3. And since a = 6b, that means c = 6b / 3 = 2b.

    Thus, the ratio of Able's score to Ben's score to Cal's score, a:b:c, is 6:1:2, because c is twice as much as b and a is 6 times as much as b.
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