题目

An auditorium contains n seats arranged in 6 rows, each containing equal number of seats. The last row seats are pulled out and are divided equally among the remaining 5 rows such that each row appears identical after this whole transaction and no seat is left out. What is the minimum value of n?


选项

A.

24

B.

30

C.

48

D.

60

E.

90

解析

6排共有n个座位 假设每排有m个座位 因此 6×m = n 移除最后一排,并将该排的座位平均分配到剩余的5排中 因此 5×(m + m/5) = n 6m = 5m + 5,计算得出m = 5 根据第一个等式 6×5 = 30 实际上,当我读到“座位被平均分配到剩余的5排”时,直接用5乘6就立刻得出了答案 选项B正确
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