There was a surge in math club membership after the fun Halloween party. When the principal asked Mrs. Germain how many students were currently in the club, she replied, "Three times our number plus a third of our number plus a fourth of our number plus you and me is two hundred sixty."

Question

The principal smiled and nodded, then added, "If you can pick up another eight students before your Christmas party you will have exactly 10% of the student body involved in the club."

How many students are enrolled in the math club? How many students are in the school?

Be sure to explain how you found your answer.
Please help

Answer 1

a. 260 - 2 = 258 Students in club.

b. 258 + 8 = 0.1n.
n = 2660 Students in the school.

Answer 2

So, if there are x in the club, and y students in all, then we know that

3x + x/3 + x/4 + 2 = 260
x+8 = y/10

so, just find x, and then use that to find y.