In Marry's English class,the ratio of the number of students receiving A grade to the total number of students is 6:25 and in John 's English class,the above ratio is 5:20. Which class has a better record of A grades ?
Answers
Given :
- In Marry's English class,the ratio of the number of students receiving A grade to the total number of students is 6:25 and in John 's English class, the ratio is 5:20.
To Find :
- Which class has a better record of A grades ?
Solution :
⠀⟶⠀Ratio of Marry's class = 6:25
⠀⟶⠀Ratio of Marry's class = 6/25
⠀⟶⠀Ratio of John's class = 5:20
⠀⟶⠀Ratio of John's class = 5/20
Comparing both the ratios :
⠀⟶⠀6/25 ( < , > ) 5/20
As the denominators are not same, so we will make the denominators same by taking the LCM (Lowest Common Factor) of the denominators.
LCM of denominators :
2 | 25 , 20
2 | 25 , 10
5 | 25 , 5
5 | 5 , 1
| 1 , 1
∴ LCM of 25 and 20 = 2 × 2 × 5 × 5 = 100
Making the Denominators same :
⠀⟶⠀6/25 = 6 × 4/25 × 4 = 24/100
⠀⟶⠀5/20 = 5 × 5/20 × 5 = 25/100
Thus on comparing the ratios we get that Ratio of John's class is more as 24/100 < 25/100.
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Given :
In Marry's English class,the ratio of the number of students receiving A grade to the total number of students is 6:25 and in John 's English class, the ratio is 5:20.
To Find :
Which class has a better record of A grades ?
Solution :
⠀⟶⠀Ratio of Marry's class = 6:25
⠀⟶⠀Ratio of Marry's class = 6/25
⠀⟶⠀Ratio of John's class = 5:20
⠀⟶⠀Ratio of John's class = 5/20
Comparing both the ratios :
⠀⟶⠀6/25 ( < , > ) 5/20
As the denominators are not same, so we will make the denominators same by taking the LCM (Lowest Common Factor) of the denominators.
LCM of denominators :
2 | 25 , 20
2 | 25 , 10
5 | 25 , 5
5 | 5 , 1
| 1 , 1
∴ LCM of 25 and 20 = 2 × 2 × 5 × 5 = 100
Making the Denominators same :
⠀⟶⠀6/25 = 6 × 4/25 × 4 = 24/100
⠀⟶⠀5/20 = 5 × 5/20 × 5 = 25/100
Thus on comparing the ratios we get that Ratio of John's class is more as 24/100 < 25/100.
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