SOLUTION: 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 u

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 u      Log On


   

Question 577193: 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 the people.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of tables that seat 4
Let +y+ = number of tables that seat 10
given:
+4x+%2B+10y+=+280%0D%0A%7B%7B%7B++x+%2B+y+%3C=+52+
Here's the graph
+graph%28+400%2C+400%2C+-10%2C+60%2C+-10%2C+60%2C+-%282%2F5%29%2Ax+%2B+28%2C+-x+%2B+52%29+
The possible solutions lie on the line +4x+%2B+10y+=+280+
in the region which is under the line +x+%2B+y+=+52+
but restricted to (+) values of x