SOLUTION: Miguel is selling tickets to a barbecue. Adult tickets cost $7.00 and children's tickets cost $5.00. He sells six more children's tickets than adult tickets. The total amount of mo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Miguel is selling tickets to a barbecue. Adult tickets cost $7.00 and children's tickets cost $5.00. He sells six more children's tickets than adult tickets. The total amount of mo      Log On


   

Question 1109942: Miguel is selling tickets to a barbecue. Adult tickets cost $7.00 and children's tickets cost $5.00. He sells six more children's tickets than adult tickets. The total amount of money he collects is $210.00. How many adult tickets and how many children's tickets did he sell?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x children
y adults
system%285x%2B7y=210%2Cx-y=6%29
Use whatever method you want. Elimination or Substitution.


Notice 5x%2B7y%2Bx-y=210%2B6
6x%2B6y=216
x%2By=36

and this allows for the system system%28x%2By=36%2Cx-y=6%29
NOW use Elimination Method on THIS system.
x=21 and y=15.