For this case, the first thing we must do is define variables.
We have then:
x = number of dimes
y = number of quarters
We write the system of equations:
0.10x + 0.25y = 4.55
x = y
Solving the system we have:
x = 13
y = 13
The value of the dimes is:
(0.10) * (13) = 1.3 $
Answer:
The value of only the dimes is:
1.3 $