20. The ratio between the number of boys and girls in a class is 8 : 7. If there are 48 boys in the
class, find the:
(a) number of girls in the class.
(b) total number of students in the class.
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20. The ratio between the number of boys and girls in a class is 8 : 7. If there are 48 boys in the
class, find the:
(a) number of girls in the class.
(b) total number of students in the class.
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⇒ Final Answers:
Number of girls = 42
Total number of students = 90
⇒ Given:
The ratio between the boys and girls in a class as 8:7.
The number of boys in the class is 48.
⇒ To Find:
The number of girls in the class.
The total number of students in the class.
⇒ Solution:
Let the number of boys and girls in the class be 8x and 7x respectively.
It is given that the number of boys in the class is 48.
This means that:
8x = 48
Part a: No. of girls in the class
We know that, number of boys in the class:
8x = 48
So x:
Number of girls in the class = 7x
= 7 x 6
= 42
∴ The number of girls in the class is 42.
Part b: Total no. of students in the class
Total number of students in the class = No. of boys + No. of girls
= 48 + 42
= 90
∴ The number of boys in the class is 90.
⇒ Verification:
The ratio of the boys and girls in the class is 8:7.
We know that:
Number of boys = 48
Number of girls = 42
Forming a ratio
= 48 : 42
= 8 : 7
Hence verified!