I need an equation and the steps to solve

Question

Devon spent 252 dollars on tickets to an air show for 9 adults and 2 children. The children's tickets were 6 dollars cheaper than the adults. Find out how much the adult ticets cost and how much were the children's tickets

Answer 1

Let a = cost of adult ticket

Let c = cost of child's ticket

 

9a + 2c = 252    {equation 1}

c = a-6              {equation 2}

 

Substitute a-6 in place of c in equation 1 and solve for a

 

9a + 2(a-6) = 252

Solve for a

Once you have the value of a, then subtract 6 from that

to find the value of c