Arunning 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.

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%