Raphael is trying to book a graduation party the party Pavilion charges $100 for the first 10 people $150 for more than 10 people and up to 20 people $200 for more than 20 people it's up to 30 people turn 54 more than 30 and up to 40 people and 275 more than 40 and up to 50 people if Rafael wants to spend $250 for this party how many people can you invite

1 answer

Let's break down the costs based on the number of people invited to the party:

  1. 1 to 10 people: $100
  2. 11 to 20 people: $150
  3. 21 to 30 people: $200
  4. 31 to 40 people: $275
  5. 41 to 50 people: $350

Given that Raphael wants to spend $250, let's determine how many people he can invite for that budget:

  • For 1 to 10 people, the cost is $100. (Under budget)
  • For 11 to 20 people, the cost is $150. (Under budget)
  • For 21 to 30 people, the cost is $200. (Under budget)
  • For 31 to 40 people, the cost is $275. (Over budget)
  • For 41 to 50 people, the cost is $350. (Over budget)

Since Raphael's budget is $250, he can invite:

  • Up to 30 people for $200.
  • He cannot afford 31 people (which costs $275).

Therefore, Raphael can invite a maximum of 30 people within his budget of $250.