Answer:
D
Step-by-step explanation:
Let cost of member be "m" and cost of non-member be "n".
We know:
3 member and 4 non-member pay $79.
So we can say:
![3m+4n=79](https://tex.z-dn.net/?f=3m%2B4n%3D79)
Also, from the problem, we know that:
non-member fee is 11 more than member fee
Thus, we can write:
n = 11 + m
Putting this in 1st equation, we can solve for "m":
![3m+4n=79\\3m+4(11+m)=79\\3m+44+4m=79\\7m+44=79\\7m=35\\m=5](https://tex.z-dn.net/?f=3m%2B4n%3D79%5C%5C3m%2B4%2811%2Bm%29%3D79%5C%5C3m%2B44%2B4m%3D79%5C%5C7m%2B44%3D79%5C%5C7m%3D35%5C%5Cm%3D5)
Members have to pay $5, so non-members will pay "11" more, that will be:
Non-Members = 11 + 5 = 16
<u>$16, D is the correct answer</u>