你的答案完全正确，应该给分。尽管本句可以用单数，但用复数也完全正确！

like this 前面用复数名词的用法太普通了。如：

Jobs like this don't come along very often! 像这样的工作并不常有！

Violins like this don’t come cheap. 像这样的小提琴不会便宜。

Matters like this are best discussed in private. 这种事情最好在私下讨论。

Beautiful old houses like this one are always in great demand. 像这样美丽的老房子总是有很大需求的。

再如：

I don’t much care for people like her. 我不太喜欢像她那样的人。

I have no time for lazy people like him. 我可不喜欢像他那样的懒虫。

I no longer wish to be associated with people like him. 我再也不愿意和他这样的人打交道了。