Question 759860
Quarters = x
Dimes = y
x + y = 19.........1
25x 10y = 295......2
Multiply (1) by 10
10x + 10y = 190.....3
25x + 10y = 295.....2
Subtract (3) from (2)
15x       = 105
  x       = 7
Substitute x = 7 in
Eq (1)
x + y = 19
7 + y = 19
    y = 19 - 7
    y = 12
Nick had 7 quarters and 12 dimes.
Hope this helps.
:-)