If 4/5 of the teachers in the meeting occupied 5/6 of the seats in the hall, then the least number of teachers in a meeting could be
Correct answer: C. 24
- A. 5
- B. 6
- C. 24
- D. 25
Explanation
To find the least number of teachers, we need to equate the fractions of teachers and seats. Let T represent the number of teachers. According to the problem:4/5 of the teachers = 5/6 of the seatsAssuming the total number of teachers is T, then 4/5 * T = 5/6 *(total seats). To find the least number of teachers, we need to find the smallest value of T such that both sides are equal. Solving this equation, we find that T = 24 is the smallest number satisfying this condition.Option A (5) and Option B (6) are too small to satisfy the equation, and Option D (25) is more than necessary. Thus, Option C (24) is the correct answer.
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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.
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