78 members are not traveling
Explanation
Step1
we need to use fractions to find the number of memebers are going away, so the whole number (117) is represented by 1
then,Let
whole number=full staff= 117
One third of them are going away for the Thanksgiving holiday, to find the number of members just do:(fraction by number)

Step 2
now, let's use subtraction to find the number of members that are not traveling

I hope this helps you