so sam needs to buy 2 bundles of points, right? if he buys 1, he will have 19540 and you can not buy parts, so for the ticket it is 34x2= 64 pounds.
so to find the hotel just divide by the exchange rate, so 6650/11.865=around 560 dollars. add them up so 64+560= 624 pounds, so he will pay less.