Puzzle Three students, Peter, James, and Emma decided to go for a drink and split the cost. Peter bought 5 beer bottles, and James bought 3 beer bottles, priced at £3 each. At the end of the evening, Emma gave Peter £7 and James £1, saying they were even. While Peter happily accepted, James felt short-changed. Which student cheated in the math exam?
Solution Emma's money split might seem unfair because Peter and James contributed 5 to 3 but were refunded 7 to 1. However, they can't claim a refund for the beers they drank. Deducting equal amounts from their contributions would result in a different refund ratio. This is how Emma calculated each share. You may consider using this approach when out with friends.
Total money spent is £3x8=£24
Each should pay £24:3=£8
Peter contributed £3x5=£15, so his refund is £15-£8=£7
James contributed £3x3=£9, so his refund is £9-£8=£1
Emma contributed £7+£1=£8
So, was it James who cheated in the math exam? Well, maybe he just needed a good night's sleep to clear his head.
댓글