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aniked [119]
3 years ago
11

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 C

hilds ticket the total cost of the six tickets is ?40.50 work out the cost of an adult ticket
Mathematics
1 answer:
abruzzese [7]3 years ago
8 0

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.

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