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

Answer:

1000 runners

Step-by-step 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

Answer:

1000

Step-by-step 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 = $90\% \times x =\frac{90}{100}x=0.9x$

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

So, Numbers of men runners = $30\% \times 0.9x=\frac{30}{100} \times 0.9x =0.27x$

Now we are given that 270 men completed it

So, $0.27x=270$

$x=\frac{270}{0.27}$

[tex]x=1000/tex]

Hence 1000 runners began the marathon.