Question

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

Answer 1

Answer:

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,

$2a+4c=40.5$                 -----------------(1)

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

$a=c+6$                          -----------------(2)

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

$2a+4c=40.5$

$2(c+6)+4c=40.5$

$2c+12+4c=40.5$

$6c=40.5-12$

$6c=28.5$

$c=\frac{28.5}{6}$

$c=4.75$                        --------------------(3)

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

$a=c+6$

$a=4.75+6$

$a=10.75$

As a is the cost of 1 adult ticket,

Therefore Cost of an adult ticket is £10.75