The 14th 0ne please answer fast
Dear Student,
Solution)
Let the number of boys and girls be x and y respectively.
As, we know that,
Sum of observations = Mean × Number of observations
Given, Mean marks of boys in the examination = 70
∴ Sum of marks obtained by boys in the examination
= 70 × x
= 70x
Given, Mean marks of girls in the examination = 73
∴ Sum of marks obtained by girls in the examination
= 73 × y
= 73y
Given, Mean marks of all students in the examination = 71
∴ Sum of marks obtained by all students in the examination
= 71 (x + y)
Sum of marks obtained by all students in the examination
= Sum of marks obtained by boys in the examination +
Sum of marks obtained by girls in the examination
∴ 71 (x + y) = 70x + 73y
⇒ 71x + 71y = 70x + 73y
⇒ 71x – 70x = 73y – 71y
⇒ x = 2y
⇒ x : y = 2:1
Thus, the ratio of number of boys to the number of girls is 2 :1
Regards!