Algebra

Mina's catering service is organizing a formal dinner for 280 people.The hall has two kinds of tables, one that seats 4 people and one that seats 10 people.The hall can contain up to a total of 52 tables.Write and graph a system of inequalities that can be used to determine the possible combinations of tables that can be used for the event so there are enough seats for all people,

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  1. If there are x 4-seaters, and y 10-seaters, then

    x+y <= 52
    4x + 10y >= 280

    see the solution set at

    http://www.wolframalpha.com/input/?i=solve+x%2By+%3C%3D+52%2C+4x+%2B+10y+%3E%3D+280%2C+x%3E%3D0%2C+y%3E%3D0

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