To determine how many people Rafael can invite with a budget of $250 for the party pavilion, we need to look at the price ranges based on the number of people:
- $100 for the first 10 people (1 to 10 people)
- $150 for more than 10 and up to 20 people (11 to 20 people)
- $200 for more than 20 and up to 30 people (21 to 30 people)
- $250 for more than 30 and up to 40 people (31 to 40 people)
- $275 for more than 40 and up to 50 people (41 to 50 people)
Since Rafael wants to spend $250, we check which range includes this price:
- For 1 to 10 people: $100
- For 11 to 20 people: $150
- For 21 to 30 people: $200
- For 31 to 40 people: $250 (this is valid as it matches his budget)
- For 41 to 50 people: $275, which exceeds his budget.
Therefore, Rafael can invite between 31 to 40 people for his party with a budget of $250.
The number of people Rafael can invite is between 31 and 40.
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