Answer:
Jason originally had 87 baseball trading cards.
Explanation:
Let the number of cards Jason originally had be, x.
It is provided that he bought 5 new baseball trading cards to add to his new collection.
So, the new number of cards is, x + 5.
It is also provided that, his dog ate half of the cards.
Now Jason has 46 cards left.
This implies that:
![(1)/(2) (x+5)=46](https://img.qammunity.org/2021/formulas/mathematics/college/4jsa6ddc5opqpe0228dr108f6xogokun19.png)
Solve the above equation of x as follows:
![(1)/(2) (x+5)=46](https://img.qammunity.org/2021/formulas/mathematics/college/4jsa6ddc5opqpe0228dr108f6xogokun19.png)
![x+5=92\\](https://img.qammunity.org/2021/formulas/mathematics/college/sdpjipiiay7fzigl4nt8di0mliy4dxz72z.png)
![x=92-5\\x=87](https://img.qammunity.org/2021/formulas/mathematics/college/2a4be45cnmksxk82e865mcf0ryw4ltnknn.png)
Thus, Jason originally had 87 baseball trading cards.