Math word problem?

At a certain restaurant, there are 25 tables, and each table has either 2 or 4 chairs. If a total of 86 chairs accompany the 25 tables, how many tables have exactly 4 chairs? Show your work

Comments

  • 25*2=50

    86-50=36

    36/2=18

    25-18=7

    17*2+18*4

  • Tables use at least 2 chairs. 25 tables require 50 of the 86 chairs. The remaining 36 chairs are supplied 2 per table by 18 tables.

  • t + f = 25

    2t + 4f = 86

    2t + 2f = 50

    ---------------------

    2f = 36

    f = 18

    18 tables have exactly 4 chairs

  • x = tables with 4 chairs

    y = tables with 2 chairs

    Number of tables: x + y = 25 → y = 25-x

    Number of chairs: 4x+2y = 86 → 4x + 2(25-x) = 86

    4x - 2x = 86-50

    2x = 36

    x = 18

    18 tables have 4 chairs

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