SOLUTION: Devon purchased tickets to an air show for 6 adults and 2 children. The total cost was $98. The cost of a child's ticket was $3 less than the cost of an adults ticket . Find the pr

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Devon purchased tickets to an air show for 6 adults and 2 children. The total cost was $98. The cost of a child's ticket was $3 less than the cost of an adults ticket . Find the pr      Log On


   

Question 1016487: Devon purchased tickets to an air show for 6 adults and 2 children. The total cost was $98. The cost of a child's ticket was $3 less than the cost of an adults ticket . Find the price of an adults ticket and a child's ticket
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Cal the prices of adult and child's tickets, a and c. Then we have
a = c + 3 and
6a + 2c = 98
Now substitute the first into the second and get
6(c+3) + 2c = 98
6c + 18 + 2c = 98
8c + 18 = 98
8c = 80
c = $10
a = $13