Question

the class consist of 50 students of which 35 are boys and remaining are girls.the average marks of boys are 45 and their combine average of whole class is 55.find the average marks of girls

Answer 1

GiveN :

• Total number of students in class = 50
• Number of boys in class = 35
• Average marks of boys = 45
• Average marks of total class = 55

To FinD :

• Average marks of Girls

SolutioN :

⇒No. of boys + No. of girls = No. students

⇒No. of girls = 50 - 35

⇒No. of girls = 15

____________________________

Marks of Boys :

⇒Average = Total marks/No. of boys

⇒Total marks = 45 * 35

⇒Total marks = 1575

Total marks of boys are 1575

________________________

Total Marks :

⇒Average = Total Marks/No. of students

⇒55 = Total marks/50

⇒Total marks = 55 * 50

⇒Total marks = 2750

Total marks of class are 2750

__________________________

Average marks of Girls :

⇒Total marks = Total marks of Boys + Total marks of Girls

⇒Total marks of Girls = 2750 - 1575

⇒Total marks of Girls = 1175

Total marks of Girls are 1175

_________________________

Average marks of Girls :

⇒Average = Total marks of Girls/No. of girls

⇒Average = 1175/15

⇒Average = 78.34

$\therefore$ Average marks of Girls are 78.34 marks

Answer 2

Answer:

Average marks of Girls are 78.34 marks

Step-by-step explanation:

Given

Total number of students in class = 50

Number of boys in class = 35

Average marks of boys = 45

Average marks of total class = 55

To find :

Average marks of Girls

Solution

⇒No. of boys + No. of girls = No. students

⇒No. of girls = 50 - 35

⇒No. of girls = 15

Marks of Boys

⇒Average = Total marks/No. of boys

⇒Total marks = 45 * 35

⇒Total marks = 1575

Total marks of boys are 1575

Total Marks

⇒Average = Total Marks/No. of students

⇒55 = Total marks/50

⇒Total marks = 55 * 50

⇒Total marks = 2750

Total marks of class are 2750

Average marks of Girls

⇒Total marks = Total marks of Boys + Total marks of Girls

⇒Total marks of Girls = 2750 - 1575

⇒Total marks of Girls = 1175

Total marks of Girls are 1175

Average marks of Girls

⇒Average = Total marks of Girls/No. of girls

⇒Average = 1175/15

⇒Average = 78.34

Average marks of Girls are 78.34 marks