Adult tickets to Space City amusement park cost x dollars. Children's tickets cost y dollars. The Garcia family bought 3 adult and 1 child ticket for $164. The Henson family bought 2 adult and 3 children's tickets for $174

let the number of adult tickets be x and the number of children tickets be y

3x + y = 164 ... equ (1)

2x + 3y = 174 ... equ (2)

multiplying equation 1 by 3

9x + 3y = 492

subtracting equation 2 from 1

7x = 318

x = 45.43 dollars

substituting the value of x into the equation

3 (45.428) + y = 164

y = 164 - 3 (45.428)

∴y = 27.71 dollars