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.

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.