Civil Service Exam Reviewer · Word Problems · hard

If students sit 5 to a bench, 7 students have no seat. If they sit 6 to a bench, 2 bench(es) are left empty. How many students are there?

  1. 19
  2. 114
  3. 95
  4. 102

Answer

D. 102

Solution

Let b = benches: 5b + 7 = 6(b − 2) → b = 19. Students = 5(19) + 7 = 102.

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