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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:

v+n+r=48 r=4+(v+n) n=48/2−6  n+r+v=48 n−r+v=−4 2n=36  Pivot:Row1↔Row3 2n=36 n−r+v=−4 n+r+v=48  Row2−21​⋅ Row1→Row2 2n=36 −r+v=−22 n+r+v=48  Row3−21​⋅ Row1→Row3 2n=36 −r+v=−22 r+v=30  Row3+Row2→Row3 2n=36 −r+v=−22 2v=8  v=28​=4 r=−1−22−v​=−1−22−4​=26 n=236​=18  n=18 r=26 v=4

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