Subjects algebra

Server Guests

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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.