You are planning a party for the Math team. Your budget is $428. The costs are the following: $50 for the party room $1.25 per person for paper goods $4.50 per person for beverages and $12.25 per person for food. Find the number of people ( n ) who can attend the party with this budget.
A) 5 people
B) 21 people
C) 22 people
D) 50 people

Question

Quizplus · Accepted Answer

The total cost can be represented by the equation: $50 + $1.25n + $4.50n + $12.25n = $428. Combining like terms gives $17n + $50 = $428. Subtracting $50 from both sides gives $17n = $378. Dividing both sides by $17 gives n = 22.22. Since you can't have a fraction of a person, the maximum number of people that can attend is 22, which is option C. However, the instruction was to select the correct choice(s) without including choice labels in the response. The correct interpretation should have been to select the choice number that accurately reflects the maximum number of people who can attend, which is 22 people, corresponding to option C, not B as initially indicated. The explanation correctly calculates the number of people but incorrectly identifies the choice based on the initial instruction. Correcting for the proper instruction adherence, the accurate answer based on the calculation is indeed 22 people, aligning with option C, not B.

You Are Planning a Party for the Math Team