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.

Question

Mathematics

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30 January, 18:09

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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Answers (1)

Know the Answer?

Gia Holden · Answer 1

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.

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.

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.