58 people attend a banquet at Disney. Residents paid $13.00 and non-residents paid $17.50.if Disney made $925.00 From ticket sales for the event, how many residents and non-residents attend?

Answer 1

let x = number of residents

let y = number of non residents

x + y = 58

solve for y

y = 58 - x

sales =

13.00x + 17.50 y = 925

substitute for y

13x + 17.50(58-x) = 925

13x + 101.50 - 17.50x = 925

-4.50x +101.50 = 925

-4.50x = -90

x = 20

20 residents tickets were sold and

(58-20) = 38 non resident tickets were sold