Question

Screenshot the problem and scan it with the Gauthmath app,enter the answer,and earn 200 Coins 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 later race. How many races are needed to determine the champion sprinter?

          Screenshot the problem and scan it with the
Gauthmath app,enter the answer,and earn 200 Coins
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
later race. How many races are needed to
determine the champion sprinter?

Screenshot the problem and scan it with the
Gauthmath app,enter the answer,and earn 200 Coins
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
later race. How many races are needed to
determine the champion sprinter?

Added by Marcos W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Megha Sharma

Step 1

Since there are 271 sprinters and only 6 can be eliminated in each race, we need to have at least 271/6 = 45.17 races. We can't have a fraction of a race, so we need to round up to 46 races. Show more…

Show all steps

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Screenshot the problem and scan it with the Gauthmath app; enter the answer, and earn 200 Coins. In an All-Area track meet, 271 sprinters enter a 200-meter dash competition. The track has 7 lanes, so only 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?