Solve
ten increased by the quotient of a number and 6 is 5

The   30 .

Explanation:

10 + (x/6 ) = 5 ;  solve for "x" ;

 Subtract "10" from each side ;

   10 + (x/6 ) - 10 = 5 - 10 ;

  to get:

   x / 6 =  -5  ;

Now, multiply EACH side of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ;

   (x/6) *6 = -5 * (6) ;

To get:    x = 30 .