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?
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}.
Let's solve this step by step to find the maximum number of people James can invite to his party:
Step 1: Subtract the deposit from the budget.
$155 - $50 = $105
Step 2: Divide the remaining budget by the cost per person.
$105 ÷ $15 = 7
Therefore, James can invite a maximum of 7 people to his party.
To calculate the maximum number of people James can invite to his party, we need to consider his budget and the cost per person.
The deposit of $50 is a fixed cost and will not change regardless of the number of people attending the party.
The cost per additional person is $15. We need to calculate how many people can be invited within the remaining budget after subtracting the deposit.
Let's break it down step by step:
1. Subtract the deposit from the total budget:
$155 - $50 = $105
2. Divide the remaining budget by the cost per person:
$105 / $15 = 7
Therefore, James can invite a maximum of 7 additional people to his party, given his budget and the cost per person.