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

$\displaystyle{n}+{d}={80}\usepackage{cmbright}\Huge\$

$\displaystyle{0.05}{n}+{0.10}{d}={5.00}\usepackage{cmbright}\Huge\$

The intersection point is $\displaystyle{\left({60},{20}\right)}\usepackage{cmbright}\Huge\$ . This represents the solution: 60 nickels and 20 dimes.