2011 AMC10A 10  A majority of the $$30$$ students in Ms. Demeanor\textquotesingle s class bought pencils at the school bookstore. Each of these students bought the same number of pencils, and this number was greater than $$1$$. The cost of a pencil in cents was greater than the number of pencils each student bought, and the total cost of all the pencils was $$$17.71$$. What was the cost of a pencil in cents?  德米诺尔女士班级的 30 个学生中的大多数在学校书店购买铅笔。 这些学生中的每个人都购买了相同数量的铅笔，而且这个数量大于 1。 一支铅笔的成本（以美分计）大于每个学生购买的铅笔数量，所有铅笔的总成本为 $17.71。 一支铅笔的成本是多少？
选项为:A:$$7$$  B:$$11$$  C:$$17$$  D:$$23$$  E:$$77$$  请回答其中一个选项.