1. Let

x denote the number of people in the group;

y denote the amount of money each person will get.

2. "Translate" the text into equations:

$\displaystyle \left| \begin{array}{rcl}(x+4)(y-16)&=&xy \\ (x-4)(y+24)&=& xy\end{array}\right.$

3. Expand the brackets and subtract the 1st equation columnwise from the 2nd equation. After moving some stuff around you'll get:

$\displaystyle y = 5x-4$

**----- [A]**
4. Substitute in the 1st equation the variable y by 5x - 4. Expand the brackets and solve for x.

5. Plug in the value of x into the equato [A] to calculate y.

6.