Dan started with 69 cards
Step-by-step explanation:
Let x be the initial number of cards
Then
According to "Dan bought 7 new baseball trading cards to add to his collection"
[tex]x+7[/tex]
The next day his dog ate half of his collection.
[tex]\frac{1}{2}(x+7)[/tex]
There are now only 38 cards left.
[tex]\frac{1}{2} (x+7) = 38[/tex]
Multiplying both sides by 2
[tex]x+ 7 = 38*2\\x+7 = 76[/tex]
Subtracting 7 from both sides
[tex]x+7-7 = 76-7\\x = 69[/tex]
Hence,
Dan started with 69 cards
Keywords: Linear equation, word problems
Learn more about linear equations at:
- brainly.com/question/7888686
- brainly.com/question/7857079
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