Question

90% of runners in a marathon successfully completed it. 30% of these runners were men. How many total runners began the marathon if 270 men completed it?

Answer 1

The total runners who began the marathon is 1000

Step-by-step explanation:

Given:

Runners who completed the marathon = 90%

Men = 30%

Number of men completed the marathon = 270

Total runners who began the marathon = ?

Let the total runners be x

According to question:

Runners who completed the marathon =
`(90)/(100) X x`

= 0.9x

and,

`(30)/(100) X 0.9 x = 270`

Solving further:

`0.9x = (270 X 100)/(30) \\\\x = (270 X 100)/(30 X 0.9) \\\\x = 1000`

Therefore, total runners who began the marathon is 1000