Question
James is hosting his birthday party at a trampoline park. He will have to pay a $50 deposit and $15 per person for each additional person; James has only budgeted $155 for the party.
What is the maximum number of people James can invite to his party?
What is the maximum number of people James can invite to his party?
Answers
GPT 3.5
Let "P" be the number of people James can invite to his party.
The cost of hosting the party in terms of the number of people invited is 50 + 15P.
The maximum number of people James can invite is determined by the budget for the party, which is $155.
Setting the cost equal to the budget and solving for P, we get 50 + 15P = 155.
Subtracting 50 from both sides, we get 15P = 105.
Dividing both sides by 15, we get P = 7.
Thus, James can invite a maximum of 7 people to his party. Answer: \boxed{7}.
The cost of hosting the party in terms of the number of people invited is 50 + 15P.
The maximum number of people James can invite is determined by the budget for the party, which is $155.
Setting the cost equal to the budget and solving for P, we get 50 + 15P = 155.
Subtracting 50 from both sides, we get 15P = 105.
Dividing both sides by 15, we get P = 7.
Thus, James can invite a maximum of 7 people to his party. Answer: \boxed{7}.