Jackson and James play a two person game in which the winner gains 2 points and the other player loses 1 point.
If Jackson won exactly 15 games, and James had a final score of 33 points, how many games did they play?
No second chances on this problem! And you must explain your answer.
Solution to the Problem:
They played 39 games.Since Jackson won exactly 15 games, then James lost exactly 15 games, which would give him negative 15 points.
Since James had a final score of 33 points, he must have received 48 points from winning, so he won 24 games.
Therefore, they played 24 + 15 = 39 games.
Jackson was 15 - 24 with 6 points, and James was 24 - 15 with 33 points.
Correctly solved by:
| 1. Bryce Villanueva | Victoria, Minnesota |
| 2. Triniti Rogers |
Mountain View High School, Mountain View, Wyoming |
| 3. James Alarie | Flint, Michigan |
| 4. Jonathan Punke |
Joliet Central High School, Joliet, Illinois |
| 5. Ivy Joseph | Pune, Maharashtra, India |
| 6. Kelly Stubblefield | Mobile, Alabama |
| 7. Jacob Munafo |
Bristol Community College, Tiverton, Rhode Island |
| 8. Paresh Chauhan | Pune, Maharashtra, India |
| 9. Kaylee Gross |
Mountain View High School, Mountain View, Wyoming |
| 10. Fabian Lorenz | Graz, Austria |
| 11. Brijesh Dave | Mumbai City, Maharashtra, India |
| 12. Kimberly Howe |
The University of Alabama, Tuscaloosa, Alabama |