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?
could you help me answer this
Answers
Answer:
1000
Step-by-step explanation:
Let the total number of people who participated in the marathon = x;
Number of people who completed the marathon successfully = 90% of x
= (90/100) * x
Number of men who completed the marathon
= 30% of (number of successful candidates)
= 30% of (90% of x)
Given that;
The number of men who completed the marathon = 270
Which implies,
30% of (90% of x) = 270
(30/100) * (90/100) * x = 270
Multiplying by 100 on both sides
27x = 270 * 100
Dividing by 2 on both sides
x = 1000
Therefore,
the total number of people who participated in the marathon = x = 1000
Answer:
1000 runners
Step-by-step explanation:
An illustration to understand the problem statement: Lets say there are 100 runners. According to question 90% of runners complete the race which is 90 runners. And 30 percent of those who completed the race are men
Hence number of men who completed the race = 30% of 90
= 27
We can proceed on the basis of above illustration as follows:
If 27 men complete the race, total number of runners = 100
⇒ if 270 men complete the race, total number of runners = 100/27 x 270
= 1000 runners
GENERAL APPROACH:
Let total number of runners in the race be y
Numbers of runners who complete the race = 90% of y = 0.9y
Number of runners who were men = 30% of 0.9y
= 0.3 x 0.9y
= 0.27y
Also, number of men = 270
Equating both numbers
0.27y = 270
y = 270/0.27
y = 1000
Hence number of runners who began the marathon = 1000 runners