SOLUTION: The cost for 2 adults and 5 children to eat at the local buffet restaurant is $46.50. The cost for 1 adult and 1 child is $15. What is the cost of a child's meal?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The cost for 2 adults and 5 children to eat at the local buffet restaurant is $46.50. The cost for 1 adult and 1 child is $15. What is the cost of a child's meal?      Log On


   

Question 1060342: The cost for 2 adults and 5 children to eat at the local buffet restaurant is $46.50. The cost for 1 adult and 1 child is $15. What is the cost of a child's meal?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2A+5C=46.50
1A+1C=15
-2A-2C=-30, multiplying the second by -2
3C=16.50
C=$5.50 ANSWER
A=$9.50 from equation 2.
Check in equation 1.
19+27.50=46.50
($4.50,$9.50)