A group of people pay $720 for admission tickets to an amusement park. The price of an adult ticket is $15, and a child ticket is $8. There are 25 more adults than children. How many children are in the group?

Answer 1

Write Equations
x=number of adult tickets
y=number of child tickets
1. 720=15x+8y
2. x=y+25
Plug second equation into the first:
720=15(y+25)+8y
Solve for y:
720=15y+8y+375
720=23y+375
345=23y
15=y
So there are 15 children in the group.

Answer 2

X children.
x+25 adults.

8x + 15(x+25) = 720.
23x = 720-375,
X = 15.