Passengers 26071

Forty-eight people took part in the winning trip to Paris. There were 4 more family members than people who won the trip. People who did not win the trip but bought the trip from one of the winners were 6 less than half of the passengers on the bus. How many winners attended the tour?

Correct answer:

v =  4

Step-by-step explanation:

$$\begin{gathered} v+n+r=48 \\ r=4+(v+n) \\ n=48/2-6 \\ n+r+v=48 \\ n-r+v=-4 \\ 2n=36 \\ Pivot:Row1\leftrightarrow Row3 \\ 2n=36 \\ n-r+v=-4 \\ n+r+v=48 \\ Row2-\frac{1}{2}\cdot Row1\to Row2 \\ 2n=36 \\ -r+v=-22 \\ n+r+v=48 \\ Row3-\frac{1}{2}\cdot Row1\to Row3 \\ 2n=36 \\ -r+v=-22 \\ r+v=30 \\ Row3+Row2\to Row3 \\ 2n=36 \\ -r+v=-22 \\ 2v=8 \\ v=\frac{8}{2}=4 \\ r=\frac{-22-v}{-1}=\frac{-22-4}{-1}=26 \\ n=\frac{36}{2}=18 \\ n=18 \\ r=26 \\ v=4 \end{gathered}$$

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