Raphael is trying to book graduation party the party pavilion charges $100 for the first 10 people $150 for more than $10 and up to 20 people $200 for more than $20 and up to 3:30 people $250 for more than 30 and up to 40 people and 275 for more than 40 and up to 50 people if Raphael wants to spend $250 for this party how many people can be invited

1 answer

To determine how many people Raphael can invite if he wants to spend $250 for the party, let's break down the pricing structure:

  1. $100 for the first 10 people

    • If he invites 10 people or fewer, he pays $100.
  2. $150 for more than 10 and up to 20 people

    • If he invites between 11 and 20 people, he pays $150.
  3. $200 for more than 20 and up to 30 people

    • If he invites between 21 and 30 people, he pays $200.
  4. $250 for more than 30 and up to 40 people

    • If he invites between 31 and 40 people, he pays $250.
  5. $275 for more than 40 and up to 50 people

    • If he invites between 41 and 50 people, he pays $275.

Since Raphael wants to spend up to $250, he can invite up to 40 people.

Thus, the maximum number of people he can invite while staying within his budget is 40.