A bag contains $$100$$ raffle tickets in red, white and blue. The ratio of red to white tickets is $$5:4$$ and the ratio of white to blue tickets is $$8:7$$. What is the smallest number of tickets that would have to be picked to make sure having selected at least half of \textbf{one} colour? 
选项为:A:$$48$$  B:$$49$$  C:$$50$$  D:$$51$$  E:$$52$$  请回答其中一个选项.