Final answer:
In a trivia game with a ratio of entertainment to sports questions of 5:3, two combinations could be 10 entertainment and 6 sports questions or 20 entertainment and 12 sports questions, by multiplying the ratio by 2 and 4, respectively.
Step-by-step explanation:
If we have a ratio of entertainment questions to sports questions in a trivia game of 5:3, this means for every 5 entertainment questions, there are 3 sports questions. To find combinations that would be in the game, we can multiply these numbers by any integer to obtain different sets of combinations that maintain the ratio.
For example:
- If we multiply the ratio by 2, we would have 10 entertainment questions and 6 sports questions.
- Multiplying the ratio by 4, we would get 20 entertainment questions to 12 sports questions.
So, two possible combinations of entertainment and sports questions in the trivia game could be 10 entertainment questions and 6 sports questions, or 20 entertainment questions and 12 sports questions.