Mr and Mrs Smith buy tickets for themselves and their four children.

The cost of an adult ticket is £6 more than the adult ticket.

The total cost of the six tickets is £40.50

Work out the cost of an adult ticket.

In your working let c be the cost of the child ticket and a be the cost of the adult ticket.

The cost of an adult ticket is £6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:

(c+6) + (c+6) + c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is £4.75 and the cost of an adult ticket (c+6) is £10.75.