Answer to Question #88878 in Discrete Mathematics for Ashika

Question

A school bus is transporting athletes home from an athletics meeting. Of these athletes 15% took part in hurdles,20% took part in the long jump event 35%,took part in relay races,30% ran the 100-m sprint and 25% took part in the high-jump event. Explain how is this possible.

Answer 1

If we check the sum of percents, we will find: 15+20+35+30+25=125 %. It means that some of the athletics take part in several events. For example, if 25% of the atletics take part in relay races and ran the 100-m sprint, we will get the correct amount of percents since we must subtract the percent of the intersection of the sprint's athletics and relay races from the sum, that is, 15+20+35+30+25-25=100%.