Solve me this, /sci/,

The Evil Queen turned himself in Snowwhite and baked 40 nail pastries for 7 dwarves. 3 dwarves politely declined and the rest split up their share and have thrown them at the Evil Queen. Half of the pastries missed their target.
How many nail pastries hit the Evil Queen and how many solutions to this problem are present?

Also, has your teachers ever tried to explain maths to you in humorous way?