Answer
$80$ boxes of normal and $55$ boxes of deluxe strawberries were sold.
Work Step by Step
Let $x$ be the number of boxes of normal strawberries sold. Then the number of boxes of deluxe strawberries sold is $135-x$.
Then our equation is:
$7x+10(135-x)=1110\\7x+1350-10x=1110\\3x=240\\x=80$
Thus, $80$ boxes of normal and $135-80=55$ boxes of deluxe strawberries were sold.