math 116

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The owners of River View Bakery have hired enough servers to handle 17 tables of customers, and the fire marshal has approved the restaurant for a limit of 56 customers. The owners need to purchase two-seat and four-seat tables to accommodate the customers.

1. Write a system of equations to illustrate the situation. Use x for the two-seat tables and y for the four-seat tables.

  • math 116 -

    x = 2-seat tables
    y = 4-seat tables

    2x + 4y = 56 (max)
    x + y = 17

    Solve for x and y that allows the maximum number of customers
    2x + 2y = 34
    2y = 22
    y = 11
    x = 6

  • math 116 -

    X=6

    Y=11

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