An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200. What is the greatest number of attendees possible without exceeding the budget?
Correct answer: C. 16
- A. 0.07
- B. 15
- C. 16
- D. 27
Explanation
We are given:Fixed cost (venue rental) = $35Cost per attendee = $10.25Total budget = $200Let the number of attendees be x.Step 1: Set up the inequalityTotal cost = 35 + 10.25×x We want: 35 + 10.25x ≤ 200Step 2: Solve for xSubtract 35 from both sides:10.25x ≤ 165Now divide both sides by 10.25:x ≤ 165 ÷ 10.25 x ≤ 16.09Step 3: Round down to the nearest whole numberSince the number of attendees must be a whole number: Final Answer: 16 attendees
Last updated
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
505 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C
If 2m=4x and 2w = 8x, what is m in terms of w?
The sum of the Series will be i) Tn = 7n -5 ii) 𝑑 = −5 iii) 𝑎 = 2 iv) 𝑛 = 16 Which two statements are sufficient to solve the given question?
If Lines AB||CD, then e = ?
Find the number of degrees in angle B?I. AC < BCII. Angle BCD = 100°III. Angle A + Angle B + Angle C = 180°IV. AB = BCV. ABC is an isosceles triangle Which two statements are sufficient to answer the question?