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?

Question

asked Nov 17, 2021 187k views

1 Answer

Afilina · Answer 1 · 2021-11-21T21:15:55+0000

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