Server Guests
1. Let's define variables for the number of guests helped by each server:
Let $x$ be the number of guests the second server helped.
Then the first server helped $3x$, and the third server helped $2 \times 3x = 6x$.
2. The total number of guests is 160, so we can write the equation:
$$x + 3x + 6x = 160$$
3. Simplify the equation:
$$10x = 160$$
4. Solve for $x$:
$$x = \frac{160}{10} = 16$$
5. Find the number of guests the third server helped:
$$6x = 6 \times 16 = 96$$
**Final answer:** The third server helped 96 guests.