Question

There are 80 participants in a competition. The average score of each participant is 58.5. The average score of the male participants is 64 and the average score of the female participants is 56. How many male participants are there in the competition?

Answer 1

Answer:

• 25

Step-by-step explanation:

Given

• Total number of participants= 80
• Male = x
• Female = 80 - x
• Average = 58.5
• Average for male = 64
• Average for female = 56

Equation to reflect the sum:

• 64x + 56(80 - x) = 80*58.5
• 64x - 56x = 80*(68.5 - 56)
• 8x = 80*2.5
• x = 25

The answer is 25 male participants

Answer 2

Given :-

• There are 80 participants in a competition.
• The average score of each participant is 58.5
• The average score of the male participants is 64 and the average score of the female participants is 56

To Find :-

• How many male participants are there in the competition

Solution :-

Let,

• Total number of male participants be ‘x’
• Total number of female participants be ‘80 - x’

A. T. Q :-

$\implies\sf64x + 56(80 - x) = 80 \times 58.5$

$\implies\sf 64x + 4480 - 56x = 4680$

$\implies\sf 64x - 56x = 4680 - 4480$

$\implies\sf 8x = 200$

$\implies\sf x = \frac{\cancel{200}}{\cancel8}$

$\implies\sf x = 25$

Therefore, the total number of male participants is 25