Given :
The ratio of collectable cards Deshawn owns to cards that Stephanie owns is 5:2.
Stephanie has 36 cards.
To Find :
How will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.
Solution :
Number of card Deshawn had, n = 5/2 × 36
n = 90 .
Number of card after they sell half there cards :
[tex]n_D = \dfrac{90}{2}=45[/tex]
[tex]n_S=\dfrac{36}{2}=18[/tex]
Therefore, new ratio is [tex]\dfrac{45}{18}=5 : 2[/tex].
So, new ratio will be same.