Let 'x' be the amount of nickels Anna has, and 'y' the amount of dimes.
If she has '4 more nickels than dimes' this is:
![y=x+4](https://img.qammunity.org/2023/formulas/mathematics/high-school/ls0mnu85f8s2uzc02n7uo809jwxrnnlfm6.png)
And the total amount is $1.25, that can be written as:
![0.05\cdot x+0.10\cdot y=1.25](https://img.qammunity.org/2023/formulas/mathematics/college/628ugp1xz39i13251hl19hz2tcfjp86p27.png)
If we replace the equivalence between y and x here we get:
![0.05x+0.10(x+4)=1.25](https://img.qammunity.org/2023/formulas/mathematics/college/ervspuje0uyyp49egr0erpjiyq4gblbqxa.png)
The correct answer is option C