Question

Two families bought each family member a 1-day pass to Six Flags. The Chavez family bought four adult passes and one child passes for a total cost of $290. The Hernandez family bought two adult passes, and two child passes for a total cost of $220. How much does each adult pass cost? How much does each child pass cost?

Answer 1

let adult be xand child be y

4x+y=$290 ×2
2x+2y=$220

8x+2y=$580
2x+2y=$220
- - -

cancel 2y and 2y

6x=360
x=360÷6
x=$60

subtitute in 1st equation

4x+y=$290
4(60)+y=$290
y=$290-$240
y=$50