November 2019
Problem of the Month

Rocky Mountain Lobos



The five starting basketball players for the Rocky Mountain Lobos scored all 95 points in their win last night over their crosstown rivals the Fort Collins Lambkins.  Assuming all their statements made in the locker room were true, how many points did each player score?

Noah: No two of us scored the same number of points.

Robby: Taaveti was our fourth highest scorer.

Aidan: All five of us finished with an odd number of points.

Taaveti: Aidan scored two points more than Robby.

Jackson: Noah was our top scorer with 23 points.

Show your work or explain your logic.



Solution to the Problem:

Jackson: 15 points
Noah: 23 points
Robby: 19 points
Aidan: 21 points
Taaveti: 17 points

Here is Martin Corral's explanation:
Since we are told that Noah was the lead scorer at 23 points, and everyone scored an odd number of points, then the only sequence that would add up to 95 points was that of 23,21,19,17,15.   We were also told that Aidan scored 2 points more than Robby, and that Taaveti was the 4th highest scorer then, that would only mean that Aidan scored 21, and since Robby scored two less than he that meant that he scored 19.   Taaveti being the 4th highest scorer would result him being at 17, and then Jackson followed last at 15 points.



Correctly solved by:

1. 유순호 (Soonho You) JeonJu, South Korea
2. Ivy Joseph Pune, Maharashtra, India
3. Bernice Rosales Delta High School,
Delta, Colorado
4. Riya Ketelsen Omaha, Nebraska
5. Breanna Hamblin Mountain View High School,
Mountain View, Wyoming
6. Sander Langebeeke Lely High School,
Naples, Florida
7. Ariana Avilez Delta High School,
Delta, Colorado
8. Emalee Bugas Mountain View High School,
Mountain View, Wyoming
9. Brooks Garris Fairmont High School,
Fairmont, North Carolina
10. Benaiah Huggins Delta High School,
Delta, Colorado
11. Brijesh Dave Mumbai City, Maharashtra, India
12. Kaycee Bugas Mountain View High School,
Mountain View, Wyoming
13. Sean Horn Delta High School,
Delta, Colorado
13. Skyler Kraai Delta High School,
Delta, Colorado
14. Martin Corral Delta High School,
Delta, Colorado
15. Angelica Mosher Mountain View High School,
Mountain View, Wyoming
16. Michael Newton Mountain View High School,
Mountain View, Wyoming
17. Damon Schoengarth Mountain View High School,
Mountain View, Wyoming
18. Trace Hadley Mountain View High School,
Mountain View, Wyoming
19. Kelly Stubblefield Mobile, Alabama
20. Caitlyn Merriman Delta High School,
Delta, Colorado
21. Mairany Jaracuaro Delta High School,
Delta, Colorado


Send any comments or questions to: David Pleacher