So setting up an equation might make this problem easier so I did.
The first equation is 0.25x+0.10y=19.30
The second equation is x+y=94
I forgot what to do after that so I started playing around with numbers using the two equations, and I ended up getting 28 dimes and 66 quarters.
0.25 (66) + 0.10 (28) = 19.30
66+28=94