Question by Lê Quốc Trần Anh - Discuss with MathYouLike

Lê Quốc Trần Anh Coordinator

23/06/2018 at 04:36

A teacher usually divides his class into six groups of n students each. However, on Monday, three of the students were absent, so the teacher divided the remaining students into seven groups of m students each. On Tuesday, four students were absent, so he went back to n students per group, but there was one fewer group than he usually has. How many students are in the class?

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Nguyễn Mạnh Hùng 23/06/2018 at 07:35

Call the number of students is x

We have:

x = 6n (1)

x - 3 = 7m

x - 4 = 5n (2)

From (1) and (2) we have:

x - ( x - 4 ) = 6n - 5n

<=> 4 = n

=> x = 6.4 = 24 (students)
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