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Able, Ben and Cal each played a game able's score was six times ben's score, Cale score was a hird time of Able's score write down the ratio of abels score to bens score to cals score , write ratio in simplest form?

2 Answers

2 votes

Answer:

The ratio of Ben's score to Ables score to cals will be:

1:6:18

Step-by-step explanation:

According to the question,we are told to find out the ratio of Abel's score to Ben's score to Cal's score with the following data:

Able,Ben and Cal each played a game.

Ables score was six times Ben's score and ,Cal's score was three times Ables score.

Since Ables score is 6 times that of Bens,the ratio of Ables score to Ben's will 6:1

And since Cals score is 3 times that of Able,their Ratio will be 3:1

Putting all three together starting from the lowest to the highest,their ratios will be 1:6:18.

Let's do a bit of a check to confirm this answer by assigning a score to Ben and then determining that of the other two.

Let's assume that Ben had scored a 1,and since Ables score is 6 times that of Bens,Ables score is 6.

And if Cal's score is 3 times that of Ables,Cal's score will be 6*3=18.

User Hamid Mohayeji
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5.4k points
1 vote

Answer:

Abel to Ben: 6

Abel to Carl: 3

Ben to Carl: 0.5

Explanation:

First we formulate the problem in equations:

Abel = 6 * Ben

Cale = Abel / 3

If Cale's score is Abel's score over 3, so Abel's score is 3 times Cale's score.

If Abel's score is 6 times Ben's score, and 3 times Cale's score, then Cale's score is 2 times Ben's score (so Ben's score is 0.5 times Cale's score)

So, the ratio between all scores are the following:

Abel to Ben: 6

Abel to Carl: 3

Ben to Carl: 0.5

User Gershon
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5.3k points