Question

Mr and Mrs Smith buy tickets for themselves and their children the cost of an adult ticket is 6 pounds more than the cost of a Childs ticket the total cost of the six tickets is ?40.50 work out the cost of an adult ticket

Answer 1

Answer: Cost of adult ticket is $10.75.

Step-by-step explanation:

Since we have given that

Total cost of the six tickets = $40.50

Number of adults = 2

Number of children = 4

Let the cost of child's ticket be x

Let the cost of adult's ticket be y

So, According to question,

$y=x+6---------(1)\\\\and\\\\2y+4x=\ 40.50---------(2)$

Put the value of Eq(1) in Eq(2), we get

$2y+4x=\ 40.50\\\\2(6+x)+4x=40.50\\\\12+2x+4x=40.50\\\\6x=40.50-12\\\\6x=28.5\\\\x=\frac{28.5}{6}\\\\x=\ 4.75$

So, The cost of child's ticket is $4.75

Hence, the cost of adult's ticket will be

$y=x+6=4.75+6=\ 10.75$

Therefore, Cost of adult ticket is $10.75.