You can put this solution on YOUR website! nickels x
dimes x+8
so value of nickels would be 0.05x and value of dimes would be 0.10(x+8)
then it is true that
0.05x+0.10(x+8)=5.45
0.05x+0.10x+0.80=5.45
0.15x+0.80=5.45
0.15x=4.65
x=31
so there are 31 nickels and 31+8=39 dimes