A number ratio specifies the number of times a given number or value is present in another number
The ratio of Amy's score to Bill's score to Cara's score is 10 : 1 : 5
The reason the above values are correct are given as follows:
The known parameters are;
Amy's score = 10 × Bill's score
Cara's score = [tex]\dfrac{1}{2}[/tex] × Amy's score
Required;
To write down the ratio of Amy's score to Bill's score to Cara's score
Solution:
Let A represent Amy's score, let B represent Bill's score, and let C represent Cara's score
A = 10·B
C = [tex]\dfrac{1}{2}[/tex] × A
Therefore, 2·C = A, which gives;
2·C = 10·B
C = 5·B
A:B:C = 10·B : B : 5·B
Taking B as unit gives;
10·B : B : 5·B = 10:1:5
The ratio of Amy's score to Bill's score to Cara's score, A:B:C = 10: 1 : 5
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