A new restaurant is to contain twoseat tables and fourseat t

A new restaurant is to contain two-seat tables and four-seat tables. Fire codes limit the restaurant\'s maximum occupancy to 56 customers. If the owners have hired enough servers to handle 17 tables of customers, how many of each kind of table should they purchase?

Solution

let number of 2-seat tables =x

number of 4-seat tables =y

total occupancy =56

2x+4y=56

serves to handle 17 tables of customer =>x+y =17

x=17-y

2x+4y=56

2(17-y)+4y=56

34-2y+4y =56

2y=22

y =11

x=17-y

x=17-11

x =6

they should purchase 6 two-seat tables , 11 four-seat tables