Four students (Misu, Tala, Kane, and Marie) compared their math scores: 99, 92, 86, and
100. Use these clues to match the students with their scores.
Clues:
1. Misu scored higher than Kane and lower than Marie.
2. Tala's score was higher than Kane's and lower than Misu's.
Based on the clues given:
- Marie scored higher than Misu and Kane.
- Tala's score was higher than Kane's and lower than Misu's.
Therefore, let's analyze the possibilities:
1. If Misu scored 99, Marie scored 100, and Kane scored 86, it would not be possible for Tala's score to be both higher than Kane's and lower than Misu's. This possibility can be eliminated.
2. If Misu scored 92, Marie scored 100, and Kane scored 86, it is possible for Tala's score to be higher than Kane's but lower than Misu's. This is a valid possibility.
3. If Misu scored 99, Marie scored 100, and Kane scored 92, it is possible for Tala's score to be higher than Kane's but lower than Misu's. This is also a valid possibility.
Therefore, based on the given clues, we have two possible valid matches:
1. Misu - 92
Tala - 86
Kane - 99
Marie - 100
2. Misu - 99
Tala - 92
Kane - 86
Marie - 100