people attending banquet

Question

586 people attend a banquet.  Residents paid$12.95 and non-residents paid $17.95.  Ticket sales totaled $9423.70.  How many residents and non-residents attended?

Answer 1

x+y = 586   --->  x=586-y

12.95x + 17.95y = 9423.70

 

12.95(586-y) + 17.95y = 9423.70

7588.70 - 12.95y + 17.95y = 9423.70

5y = 1835

 

y=367 non-residents

 

x=586-367

x=219 residents