So since we have a relationship between quarters and dimes, let's use dimes=d
[tex]0.1d+(0.25)2d=9[/tex]
This says that dimes(0.1 dollars) and twice as many dimes(quarters so 0.25) is 9 dollars. So it is
[tex]0.1d+0.5d=9[/tex]
Combining we get
[tex]0.6d = 9[/tex]
Dividing by 0.6 we get
[tex]d=15[/tex]
Since there are twice as many quarters as dimes, the answer is 15 dimes and 30 quarters.