Difference between revisions of "2015 AMC 12B Problems/Problem 4"
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==Solution 1== | ==Solution 1== | ||
− | Let | + | Let -- denote any of the 6 racers not named. Then the correct order following all the logic looks like: |
<cmath>-, \text{Nabeel}, \text{Rahul}, -, \text{Rafsan}, \text{Arabi}, -, \text{Marzuq}, -, \text{Lian}, -, -</cmath> | <cmath>-, \text{Nabeel}, \text{Rahul}, -, \text{Rafsan}, \text{Arabi}, -, \text{Marzuq}, -, \text{Lian}, -, -</cmath> |
Revision as of 09:32, 8 April 2023
Contents
Note
This problem is also problem number 5 on the 2015 AMC 10B. 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 following all the logic looks like:
Clearly the 8th place runner is .
Solution 2
We can list these out vertically to ensure clarity, starting with Marta 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 |
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