Mr and mrs smith buy tickets for hemselves and their four children.
the cost of an adult ticket is £ 6 more than the cost of a child ticket .the total cost of the 6 tickets is 40.50 .
work out the cost of an adult ticket.
in your working let c be the cost of a child ticket and a be the cost of an adult ticket.

Cost of an adult ticket is £10.75

Step-by-step explanation:

Given:-

Cost of 1 adult ticket is £6 more that the cost of a child ticket.

Total cost of 6 tickets = £40.50

c is cost of a child ticket and a is the cost of an adult ticket.

To find:- Cost of 1 adult ticket =?

Solution:-

For 2 adults and 4 children, and the total cost of tickets is £40.5, we get the following equation,

                -----------------(1)

As the Cost of 1 adult ticket is £6 more than the cost of a child ticket, we can the following equation,

                         -----------------(2)

Now, substituting the value of a from equation 2 in equation 1 we get,

                       --------------------(3)

Now substituting the value of c from equation 3 in equation 2,

As a is the cost of 1 adult ticket,

Therefore Cost of an adult ticket is £10.75