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?

Question

asked Oct 1, 2023 18.0k views

1 Answer

Sherif Buzz · Answer 1 · 2023-10-08T08:11:00+0000

Let the no. of runners be x.

If 90% of runners complete it, then no. of runners,

${\sf{ (90)/(100) * x = (9x)/(10)}}$

If 30% of completed runners are men, then no. of men,

${\sf{\frac{30} {100} * (9x)/(10) = (27x)/(100)}}$

According to given,

${\sf{(27x)/(100) = 270 \\ →x = 270 * (100)/(27) \\ →x = 1000}}$

Hence, 1000 runners started the marathon.