Let's break this question down.
3 out of 16 wanted to change and 5 out of 8 did not want to change.
It will be easier to compare the two if we say
Wanting change = 3/16 of total, and staying same = 5/8 of total = 10/16 of total
Note that change + same = 3/16 + 10/16 = 13/16 of total
This means that 16/16 - 13/16 = 3/16 of total did not have a preference.
You know from the question that 150 had no preference.
So, no preference = (3/16) of total
or 150 = (3/6) total
Do not calculate the total because those wanting change = (3/16) of total
Thus, your answer should be 150