Answer:
Jason originally had 87 baseball trading cards.
Step-by-step 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:
[tex]\frac{1}{2} (x+5)=46[/tex]
Solve the above equation of x as follows:
[tex]\frac{1}{2} (x+5)=46[/tex]
[tex]x+5=92\\[/tex]
[tex]x=92-5\\x=87[/tex]
Thus, Jason originally had 87 baseball trading cards.