Week 251 (10 June 2022)

Sammy has bought some tickets for a cricket match.  He buys 3 adult tickets and 2 child tickets.  On booking a 12% booking fee is applied and then, as he pays by credit card a further 2% is applied. Including fees, the total amount he paid was £95.96.

Assuming the adult tickets costs £20 each (before fees), how much were the child tickets (before fees)?

Answer:
Cost before credit card fees = 95.96 / 1.02 = £94.08
Cost before booking fee = 94.08/ 1.12 = £84
3 x 20 + 2 x C = 84
C = (84 -60)/ 2 = 12

So a child ticket cost £12