In an All-Area track meet, 271 sprinters enter a 200-meter dash competition. The track has 7 lanes, so only 7 sprinters can compete at a time. At the end of each race, the six non-winners are eliminated, and the winner will compete again in a later race. How many races are needed to determine the champion sprinter?
Added by Kerri D.
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Since 6 sprinters are eliminated in each race, we can divide the total number of sprinters minus 1 by 6 to find the number of races needed. $\frac{271 - 1}{6} = \frac{270}{6} = 45$ So, 45 races are needed to eliminate 270 sprinters and determine the champion Show more…
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