Need help with a survey word problem...

Question

I am unable to solve this problem in attached screen shot and need help

Answer 1

Here is my solution. Not sure if its correct

Imaging rock climbing & circuit = rc

rock climbing & zumba = rz

treadmill & circuit = tc

treadmill & zumba = tz

since there are 200 participants rc + rz + tc + tz = 200 since rc = 76 76 + rz + tc + tz = 200 rz + tc + tz = 200 - 76 = 124

since 94 chose zumba so we have tz + rz = 94

94 + tc = 124

tc = 124 - 94 = 30

Now from

 if tc = 30, then tz is twice the tc and that makes tz = 60

so until now tc = 30, tz = 60, rc = 76

and rc + rz + tc + tz = 200

76 + rz + 30 + 60 = 200

rz = 200 - 76 - 30 - 60

rz = 34

Finally tc = 30, tz = 60, rc = 76, rz = 34