A banquet hall is being set up for a reception. Each roundtable will have 6 chairs and each rectangular table will have 10 chairs. The arrangement of tables must accommodate at least 185 guests to be seated.

The client reserving the banquet hall requests that there be no more than 15 rectangular tables and no fewer than 6 round tables. Additionally, the number of rectangular tables used must be at least one-third the number of roundtables used.

Let x represent the number of roundtables and y represent the number of rectangular tables.

What constraints are placed on the variables in this situation?

Select each correct answer.

x+y≥185

y≤3x

x≤3y

y≤15

x≤15

y≥6

6x+10y≥185

x≥6

Guest Jan 17, 2018