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Amy, Brenda and Celiza each played a game.Amy's score was nine times Brenda's score.Celiza's score was a sixth of Amy's score.Find the ratio of Amy's score to Brenda's score to Celiza's score.Give your answer in its simplest form.

Question

Amy, Brenda and Celiza each played a game.Amy's score was nine times Brenda's score.Celiza's score was a sixth of Amy's score.Find the ratio of Amy's score to Brenda's score to Celiza's score.Give your answer in its simplest form.

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Solution

The problem states that Amy's score was nine times Brenda's score. So, the ratio of Amy's score to Brenda's score is 9:1.

The problem also states that Celiza's score was a sixth of Amy's score. So, the ratio of Amy's score to Celiza's score is 6:1.

To find the ratio of Amy's score to Brenda's score to Celiza's score, we need to combine these two ratios.

Since Amy's score is common in both ratios, we can equate the two ratios of Amy's score and solve for Brenda's and Celiza's scores.

So, the ratio of Amy's score to Brenda's score to Celiza's score is 9:1:6/9 = 9:1:2/3.

To simplify this ratio, we multiply all parts by 3 to get rid of the fraction.

So, the simplest form of the ratio of Amy's score to Brenda's score to Celiza's score is 27:3:2.

This problem has been solved

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