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Jika ente sedang mencari jawaban mengenai soal In the all-area track meet, 271 sprinters took part in the 200 meter running competition. The track has 7 lanes, so only 7 runners can finish at one time at the end of each race, six non-winners are eliminated, and the winner will finish again in the next race. How many races will it take to determine the sprinter champion? ente berada di website yang tepat. Kami ada 1 jawaban mengenai In the all-area track meet, 271 sprinters took part in the 200 meter running competition. The track has 7 lanes, so only 7 runners can finish at one time at the end of each race, six non-winners are eliminated, and the winner will finish again in the next race. How many races will it take to determine the sprinter champion?. Silakan pelajari jawaban selanjutnya di bawah:
Jawaban: #1:Jawab:
45 races
Penjelasan dengan langkah-langkah:
Every race eliminates 6 players. The winner is decided when there is only 1 runner left. You can construct the equation: 271-6x=1. Thus, 270 players have to be eliminated. Therefore, we need [tex]\frac2706[/tex] games to decide the winner, or 45 races.
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Setiap pertandingan mengeliminasi 6 pemain. Pemenang diputuskan ketika tersisa 1 pelari. Dari logika tersebut kita dapat membuat persamaan: 271-6x=1. Dengan demikian, 270 pemain harus dieliminasi. Oleh sebab itu, kita membutuhkan [tex]\frac2706[/tex]permainan untuk memutuskan pemenangnya, atau 45 perlombaan.
Penyelesaian persamaan:
[tex]271-6x=1\\6x=271-1\\6x=270\\x=\frac2706 \\x=45[/tex]