AMC 8 Daily Practice Round 11

Complete problem set with solutions and individual problem pages

Problem 12 Medium

Students from a middle school are attending a meeting in the auditorium. If each bench seats 3 students, there will be 7 students left standing. However, if each bench seats 4 more students than before, there will be 3 benches left unused. How many students are attending the meeting?

  • A.

    25

  • B.

    26

  • C.

    27

  • D.

    28

  • E.

    29

Answer:D

If each bench seats 4 more students (i.e., 7 students per bench), and there are 3 unused benches, this means there are 21 empty seats in total. The total number of benches is therefore \frac{21 + 7}{4} = 7 \ \text{benches}.

The total number of students is then 7 \times 3 + 7 = 28 \ \text{students}.

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