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?
Answers
Given:
90% of runners completed a marathon.
30% of these completed runners were men.
There were 270 men
To Find:
The total runners participated in the marathon
Solution:
Find the number of runners that completed the marathon:
Men completed = 30%
Men completed = 270
30% = 270 runners
100% = (270 ÷ 30) x 100
100% = 900 runners
Find the total number of runners:
Completed runners = 90%
Completed runners = 900
90% = 900 runners
100% = (900 ÷ 90) x 100
100% = 1000 runners
Answer: There were 1000 runners
Answer:
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? There were 1000 runners at the start.
Step-by-step explanation:
This is a question on percentages.
We have that 90% completed the race and out of these 30% were men.
So men who completed the race are 30% of the total number of runners who completed the race.
So, the percentage is given as:
Men Completed the race = 30/100 × 90/100 = 27%
The men who completed the race make 27% of those who started.
We have that:
27% = 270
100% = ?
100/27 × 270 = 1000
So, we had 1000 runners at the start.
Those who completed the race were = 90/100 × 1000 = 900 runner.