Question

1. In a survey of game lovers, the ratio of men who like volleyball but not football and who like football but not volleyball is 4:5, and the ratio of who like both to dislike
both is 3:2. If 50% like volleyball and 90 like only one of them then, find the number of people who participated in the survey.​

Answer 1

Step-by-step explanation:

• no.of men who like only volleyball n0(V)=4x
• no.of men who like only football n0(F)=5x
• no.of men who like both n(VnF)=3y
• no.of men who dislike both n(VUF) complement=2y
• no.of men who like only one game. 4x+3x=90 x=10
• no.of men who like volleyball n(V)=50%of(2y+3y+4x+5x ) 4x+3y=50%of(2y+3y+4x+5x). y= 10
• Total number of men (2y+3y+4x+5x)=140