A banquet hall is being set up for a reception Each round table will have 6 chairs and each rectangular table will have 10 chairsThe 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 round tables used. Let x represent the number of round tables and y represent the number of rectangular tables

What constraints are placed on the variables in this situation ?

6x+10y_>185
x_<15
x_<3y
y_<3x
y_<15
x_>6
x+y_>185
y_>6