Difference between revisions of "2015 AMC 12B Problems/Problem 4"
m (consistent linking duplicates) |
(Tag: Undo) |
||
Line 1: | Line 1: | ||
− | + | ===Note=== | |
+ | This problem is also problem number 5 on the 2015 AMC 10B, just with different names. | ||
+ | [https://artofproblemsolving.com/wiki/index.php/2015_AMC_10B_Problems/Problem_5 This is the link.] | ||
==Problem== | ==Problem== |
Latest revision as of 13:57, 23 November 2023
Contents
[hide]Note
This problem is also problem number 5 on the 2015 AMC 10B, just with different names. This is the link.
Problem
Lian, Marzuq, Rafsan, Arabi, Nabeel, and Rahul were in a 12-person race with 6 other people. Nabeel finished 6 places ahead of Marzuq. Arabi finished 1 place behind Rafsan. Lian finished 2 places behind Marzuq. Rafsan finished 2 places behind Rahul. Rahul finished 1 place behind Nabeel. Arabi finished in 6th place. Who finished in 8th place?
Solution 1
Let --- denote any of the 6 racers not named. Then the correct order looks like this:
Thus the 8th place runner is .
Solution 2
We list the people out vertically for clarity, starting with Marzuq and working from there.
Thus our answer is .
See Also
2015 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 3 |
Followed by Problem 5 |
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 AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.