Trip passenger calculation

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?

Final Answer:

v =  4

Step-by-step explanation:

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

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