Question 1097282
(2/7)t=m
(5/7)t=w
w=m+960
b=1050
How many women who are exactly 50 is not given!
Assuming that above and below 50 include all women we have:
w=b+a
(2/7)t=m
(5/7)t=w
w=m+960
m=w-960
b=1050
we need to solve for a
w=b+a
w=1050+a
a=w-1050
t=m+w
t=w-960+w
t=2(1050+a)-960
t=2100+2a-960

t=1140+2a
t/2-570=a
(5/7)t=w
t=7/5*w
t=w-960+w
7/5*w=2w-960
7/5=2-960/w
960/w=2-7/5
960/w=10/5-7/5
960/w=3/5
960*5/3=w
1600=w
w=1050+a
1600=1050+a
1600-1050=a
a=550 women over 50
Done but for fun we find the total in the club and the number of men
t=7/5*1600
t=2240 total club members
m=t-w
m=2240-1600=640
640 are men
1600 are women
check
m+960=1600
640+960=1600
(2/7)t=m
(2/7)*2240=m
m=640
(5/7)t=w
(5/7)*2240=w
w=1600
ok