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

Division with remainder中文
Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

1. 2016 AMC 8 官方解析

翻译：一次全区田径比赛中，216名短跑运动员进行百米短跑比赛．共有6条跑道，所以一次6名选手进行比赛，每一轮比赛淘汰后5名选手，第一名进入下一轮比赛，下一轮比赛按照同样方式比赛，那么直到最后比赛确定第一名一共需要比赛（ ）场？
冠军没被淘汰，所以有216−1=215216 - 1 = 215（名）选手被淘汰，又知一场比赛淘汰5名选手，所以，共进行了215÷5=43215 \div 5 = 43（场）比赛．

Answer

C. 43

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1Ike and Mike go into a sandwich shop with a total of 30.00tospend.Sandwichescost30.00 to spend. Sandwiches cost 4.50 each and soft drinks cost $1…
  2. 2Each of the even numbers 2, 4, 6, …\dots, 50 is divided by 7. The remainders are recorded. Which histogram displays the…
  3. 3Isabella has 6 coupons that can be redeemed for free ice cream cones at Pete’s Sweet Treats. In order to make the coupon…
  4. 4Sekou writes the numbers 15,16,17,18,1915, 16, 17, 18, 19. After he erases one of the numbers, the sum of the remaining four numbers…
  5. 5The letters PP, QQ, and RR are entered into a 20×2020 \times 20 table according to the pattern shown below. How many PsPs…