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30 September, 20:54

Five adult tickets and three child tickets for a movie costs £55. The cost of buying two adult tickets and three child tickets is £31. Work out each of the costs of an adult and child ticket.

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  1. 30 September, 20:59
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    adult £8 child £5

    Step-by-step explanation:

    If you look at the numbers you are given, you see that the first purchase has 3 more adult tickets than the second purchase, and its cost is £24 more. This means an adult ticket costs £24/3 = £8.

    Two adult tickets will cost 2*£8 = £16, so three child tickets cost ...

    £31 - 16 = £15

    Each child ticket is then £15/3 = £5.

    An adult ticket costs £8; a child ticket costs £5.
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