SOLUTION: 55% of the members of a club play cricket and 60% play tennis.if 25% of the members play both cricket and tennis and 150 members play neither sport, then how many members are there

Algebra.Com
Question 1021356: 55% of the members of a club play cricket and 60% play tennis.if 25% of the members play both cricket and tennis and 150 members play neither sport, then how many members are there in total?
Ans with solution plz

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Let x = total number of members in the club
==> 0.55x = number of members playing cricket
0.60x = number of members playing tennis
and 0.25x = number of members playing both sports
==> x = 0.55x+0.60x - 0.25x +150
<==> x = 0.90x +150
0.10x = 150
x = 1,500 <--total number of members in the club.

RELATED QUESTIONS

In a group 30 students play cricket,20 play tennis and in all 35 play either cricket or... (answered by stanbon)
In group of stundents 30 stundents play cricket and 20 stundents play tennis and in all... (answered by stanbon)
The 90 members of a sports club play at least one of the games tennis, football and... (answered by ikleyn)
In a group 30 students play cricket,20 play tennis and in all 35 play either cricket or... (answered by stanbon)
In a group of 50 students at a summer school , 15 play tennis , 20 play cricket, 20 swim... (answered by jorel1380,ankor@dixie-net.com)
In the fitness Club there are 780 members. All members must either choose to play golf... (answered by rfer)
in a group of 25 students, 14 play tennis, 16 play gold, and 3 students play neither.... (answered by Edwin McCravy)
The 30 members of the tennis club meet every Tuesday. The 25 members of the golf club... (answered by greenestamps)
33 of the students in a class play either football or table tennis. If 22 students play... (answered by Edwin McCravy,ikleyn)