2/11 are men. 9 men are added and 9 removed now exactly 1/5 are men how many people are at the party

Question

2/11 are men 9 men are added and 9 women removed. exactly 1/5 are men. How many people are at party

Answer 1

2/11 are men

9/11 are women

for every 2 men there are 9 women

2x=# of men

9x=# of women

2x+9 (9 men added)

9x-9  (9 women removed)

1/5 of the total are men now

2x+9=# of men

2x+9+9x-9=11x=total number of people

(2x+9)/11x=1/5

cross multiply

10x+45=11x

45=11x-10x

45=x

2*45=90 men

9*45=405 women

405+90=495 people at the party

check: 90+9=99 men, 405-9=396 women, 396+99=495 people, 99 which are men

99/495=0.2=1/5