Difference between revisions of "2018 AMC 8 Problems/Problem 3"
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==Problem 3== | ==Problem 3== | ||
| − | + | What is the sum of the first 3 numbers | |
<math>\textbf{(A) } \text{Arn}\qquad\textbf{(B) }\text{Bob}\qquad\textbf{(C) }\text{Cyd}\qquad\textbf{(D) }\text{Dan}\qquad \textbf{(E) }\text{Eve}</math> | <math>\textbf{(A) } \text{Arn}\qquad\textbf{(B) }\text{Bob}\qquad\textbf{(C) }\text{Cyd}\qquad\textbf{(D) }\text{Dan}\qquad \textbf{(E) }\text{Eve}</math> | ||
Revision as of 20:56, 28 October 2019
Problem 3
What is the sum of the first 3 numbers
Solution
The five numbers which cause people to leave the circle are 
and 
The most straightforward way to do this would be to draw out the circle with the people, and cross off people as you count.
Assuming the six people start with 
, Arn counts 
so he leaves first. Then Cyd counts 
, as there are numbers to be counted from this point. Then Fon, Bob, and Eve, count, 
and 
respectively, so last one standing is Dan. Hence, the answer would be 
.
See Also
| 2018 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
