Question

A running club has 270 members. There are 25% more men than women in the running club.

a) How many men are in the running club?

b) 40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.

Answer 1

Given:
Let x = number of women in the running club
1.25x = number of men in the running club

a.) To determine the number of men, we formulate the equation:

x+1.25x = 270
2.25x = 270

Therefore,
x = 120 (This is the number of women in the running club)
1.25x = 150 (This is the number of men in the running club)

ANSWER: 150 men

b.) To determine the percentage of cycling club to the total members, we are given the following:

Men in cycling club = 0.4*150 = 60
Women in cycling club = 0.3*120 = 36

Percentage = [(60+36)/270]*100 = 35.5%

ANSWER: 35.5%