Question

In a marathon, 90% of the runners completed it, and 30% of them. If 270 men completed the marathon, how many total runners began it?

a) 450
b) 600
c) 900
d) 750

Answer 1

To find the total number of runners who began the marathon, we can use the given information. We are told that 90% of the runners completed the marathon and 30% of them were men. Given that 270 men completed the marathon, we can calculate the total number of runners who began the marathon using the given percentages.

Step-by-step explanation:

To find the total number of runners who began the marathon, we can use the given information. We are told that 90% of the runners completed the marathon and 30% of them were men. We are also given that 270 men completed the marathon. Let's break down the problem step by step:

1. Let's assume the total number of runners who began the marathon is x
2. 90% of the runners completed the marathon, so the number of runners who completed the marathon is 90% of x = 0.90x
3. 30% of the runners were men, so the number of men who completed the marathon is 30% of 0.90x = 0.30(0.90x) = 0.27x
4. We are given that 270 men completed the marathon, so 0.27x = 270
5. Solving for x, we have x = 270 / 0.27 = 1000

Therefore, the total number of runners who began the marathon is 1000. Option c) 900 is the closest answer choice.