Question 1022646
d = number of dimes
q = number of quarters


d + q = 19
10d + 25q = 295


Multiply the first equation by 25.


25d + 25q = 475
10d + 25q = 295


Subtract to get 15d = 180, so d = 12.


Mike had 12 dimes and {{{7}}} quarters.