The Ice Cream Shop sells sundaes for $3 and banana splits for $2. On a hot summer day, the shop sold 2 more sundaes than banana splits and made $31.

How many sundaes and banana splits did the Ice Cream Shop sell?

Let X be the number of banana splits sold

Sundays: X+2
Total amount sold: 3(X+2)+2X= 31
3X+6+2X= 31
5X= 25
X= <<1=1>>1
Then X+2=3
The shop sold 3 sundaes and 1 banana split. Answer: \boxed{3, 1}.