Question

In a marathon 90% runner were managed to complete it and 30% were men if 270 men completed it how many total runner began the marathon

Answer 1

1000 runners

Explanation:

Take total number of runners to be -----------x

90% of x managed to complete the marathon= 90/100 × x =0.9x

30% of those who completed the marathon were men= 30% × 0.9x

=0.3×0.9x= 0.27x

=270 men completed the marathon; this means

0.27x=270--------------------------------find x by dividing both sides by 0.27

x= 270/0.27

x=1000 runners

Answer 2

1000

Explanation:

Given : In a marathon 90% runner were managed to complete it and 30% were men.

To Find: If 270 men completed it how many total runner began the marathon.

Solution:

Let x be the number of total runners

Now we are given that 90% runner were managed to complete it

So, number of runners managed to complete =
`90\% * x =(90)/(100)x=0.9x`

Now we are given that out of 90% , 30% were men

So, Numbers of men runners =
`30\% * 0.9x=(30)/(100) * 0.9x =0.27x`

Now we are given that 270 men completed it

So,
`0.27x=270`

`x=(270)/(0.27)`

[tex]x=1000/tex]

Hence 1000 runners began the marathon.