After selling half their card collections, DeShawn and Stephanie each buy 9 new cards. What is the ratio of the number of cards DeShawn has to the number Stephanie has?

mAKE 1 equation with only numbers

Let's assume DeShawn had 18 cards and Stephanie had 18 cards, so their initial card collections were equal.

After selling half their card collections, DeShawn and Stephanie each have 18/2 = <<18/2=9>>9 cards left.

After buying 9 new cards, DeShawn has 9 + 9 = <<9+9=18>>18 cards.
After buying 9 new cards, Stephanie has 9 + 9 = <<9+9=18>>18 cards.

Thus, the ratio of the number of cards DeShawn has to the number Stephanie has is 18/18.

Simplifying the ratio, we get 1/1.