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?
If they started out with d and s cards, respectively, then
(d/2 + 9)/(s/2 + 9) = (d+18)/(s+18)
To determine the ratio of the number of cards DeShawn has to the number Stephanie has, we need to find out how many cards each of them has after buying new cards.
Given that they sold half their card collections, let's assume that DeShawn and Stephanie each had x number of cards initially. Therefore, after selling half their collections, each of them would have x/2 cards.
After buying 9 new cards, DeShawn would have a total of (x/2) + 9 cards, and Stephanie would also have (x/2) + 9 cards.
The ratio of the number of cards DeShawn has to the number Stephanie has can be expressed as:
DeShawn's Cards / Stephanie's Cards = (x/2) + 9 / (x/2) + 9
However, without knowing the exact value of x, we cannot simplify the expression any further.