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The library at Miller Elementary School has an odd number of tables. Some tables will seat 4 students and some tables that will seat 6 students. A total of 32 students can sit at the tables with no empty seats. What is the number of tables of each type?

  • Math -

    f = # of 4-student tables
    s = # six-student tables

    total students:
    4f + 6s = 32
    2f + 3s = 16

    Now, 2f is even, so 3f must be even to add to 32, an even number. So, s must be even.

    possible solutions:
    (f,s) = (2,4),(5,2)

    since there are an odd number of tables,
    5 seat 4 students, 2 seat six students.

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