Beside the blog you want to delete, click the drop-down menu to the right of the gray Post List icon.
Click Other (under Settings) on the left side of the page.
At the top of the page under "Blog tools" click Delete blog.
Click Delete this blog.
The title of the deleted blog will appear in the "Deleted blogs" section for a short time after you delete your blog. During this time period, you can click Deleted blogs on the left side of your Blogger Dashboard to see the titles of your recently deleted blogs.