In an All-Area track meet, 216 sprinters enter a 100-meter dash competition. The track has 6 lanes, so only 6 sprinters can compete at a time. At the end of each race, the five non-winners are eliminated, and the winner will compete again in a later race. How many races are needed to determine the champion sprinter? (A) 36 (B) 42 (C) 43 (D) 60 (E) 72
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Since only 6 sprinters can compete in each race, we divide 216 by 6 to get: 216/6 = 36 So we need 36 races to eliminate all the sprinters down to one winner. Show more…
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