Let x be the number of black ink cartridges sold, and y the number of color ink sold, therefore, with the given information we can set the following system of equations:
[tex]\begin{gathered} 14.99x+23.99y=1133.37, \\ x+y=63. \end{gathered}[/tex]Solving the second equation for x, we get:
[tex]x=63-y.[/tex]Substituting the above result in the first equation of the system, we get:
[tex]14.99(63-y)+23.99y=1133.37.[/tex]Solving for y, we get:
[tex]\begin{gathered} 14.99*63-14.99y+23.99y=1133.37, \\ 9y=1133.37-944.37=189, \\ y=21. \end{gathered}[/tex]Substituting y=21 in the second equation of the system, we get:
[tex]x+21=63.[/tex]Solving for x, we get:
[tex]x=63-21=42.[/tex]42 black printer ink cartridges were sold, and 21 of the other type.
