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Korvikt [17]
2 years ago
10

Mr and Mrs Thomas buy tickets for themselves and their four children The cost of an adult ticket is £7 more than the cost of a c

hild ticket. The total cost of the six tickets is £86. Work out the cost of an adult ticket.​
Mathematics
1 answer:
Evgen [1.6K]2 years ago
8 0

Let's call the prices a and c, a for adult...

The cost of an adult ticket is £7 more than the cost of a child ticket:

a = 7 + c

The total cost of the six tickets is £86.

86 = 2a + 4c

c = a-7

86 = 2a + 4(a-7) = 6a - 28

114 = 6a

a = 19

Answer: £19

Check:

That implies c=12.

2a+4c = 2(19)+4(12) = 38 + 48 = 86, good

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