SOLUTION: The cost of admission to a game was $38 for a group 8 adults and 4 children. The admission was $8.50 for 1 adult and 2 children. What was the admission price for each child?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The cost of admission to a game was $38 for a group 8 adults and 4 children. The admission was $8.50 for 1 adult and 2 children. What was the admission price for each child?       Log On


   

Question 1153416: The cost of admission to a game was $38 for a group 8 adults and 4 children. The admission was $8.50 for 1 adult and 2 children. What was the admission price for each child?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
system%288a%2B4c=38%2Ca%2B2c=8.5%29

system%284a%2B2c=19%2Ca%2B2c=8.5%29

Since the question asks for c, best to try to eliminate a.
system%284a%2B2c=19%2C4a%2B8c=34%29
E2-E1
6c=15
2c=5
highlight%28c=2.50%29