Question

In a marathon, 90% of runners managed to complete it and 30% of them were men. If 270 men completed it, how many total runners began the marathon?

Answer 1

Answer: In the beginning 1000 runners started the marathon.

Step-by-step explanation:

Since the values are given in percentage, we consider the total number of runners in the beginning as 100.

Number of runners who completed the marathon= 90% of 100 = 90

Number of men runners who completed the marathon= 30% of 90 = 27

Number of male runners who completed the marathon is given as 270.

According to the conditions given,

27 runners are equal to 270 runners

So, 100 runners( the total considered)are equal to (270/27) × 100 = 1000.

Therefore, the marathon began with 1000 runners.

Answer 2

Answer:

Step-by-step explanation:

Let the total number of runners in a marathon = x

Then, the total number of people who managed to complete the marathon were= 90% of x i.e., 0.9x

Out of 0.9x people who were able to complete the marathon, percentage of men who were able to complete the marathon= 30% of 0.9x i.e., 0.27x

Then,the total number of men who completed the marathon= 270

That means, 0.27x =270

So,the final value of x will be obtained by solving 0.27x=270  such as,

x= 270/0.27

x= 1000

Therefore, the total number of runners in the marathon were 1000.