Tim has 22 quarters.
Explanation
Suppose, Tim has [tex]x[/tex] number of quarters.
As he has 3 more dimes than quarters and 6 fewer nickels than quarters, so the number of dimes [tex]= x+3[/tex] and the number of nickels [tex]= x-6[/tex]
Given that, the total number of coins is 63. So, the equation will be.....
[tex]x+(x+3)+(x-6)= 63\\ \\ 3x-3= 63\\ \\ 3x= 66\\ \\ x=\frac{66}{3}= 22[/tex]
So, Tim has 22 quarters.
