Correct. Let $\displaystyle{d}=\usepackage{cmbright}\Huge\$ the number of dimes and $\displaystyle{q}=\usepackage{cmbright}\Huge\$ the number of quarters. The information can be described by a system of equations and by a graph:

$\displaystyle{d}+{q}={50}\usepackage{cmbright}\Huge\$

$\displaystyle{0.10}{d}+{0.25}{q}={8.00}\usepackage{cmbright}\Huge\$

The intersection point is $\displaystyle{\left({20},{30}\right)}\usepackage{cmbright}\Huge\$ . This represents the solution: 20 quarters and 30 dimes.