Tim began with 40 comics
Further explanation:
The equation involve linear equation as there is only one object i.e. comic books
So,
Let x be the number of comic books Tim began with
Then after selling half comics Tim will have x/2 comics remaining
Now when he buys 16 more the expression will be:
[tex]\frac{x}{2}+16[/tex]
He has total 36 books, then
[tex]\frac{x}{2}+16= 36[/tex]
Subtracting 16 from both sides
[tex]\frac{x}{2}+16-16= 36-16[/tex]
[tex]{\frac{x}{2}}= 20\\[/tex]
Multiplying 2 on both sides
[tex]{\frac{x}{2}}* 2= 20*2\\x=40[/tex]
We can recheck, if he had 40, half of them will be 20 and adding 16 makes them 36.
Tim began with 40 comics
Keywords: Equation in one variable, linear equations
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