Asked by Keanna

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,
Answered by Steve
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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