Let the number of boxes of felt tip pens be x.
So, the number of boxes of ballpoint pens be 3x.
It is given that,
Ballpoint pens cost $4.37 per box.
Felt tip pens cost $3.41 per box.
The man’s order of pens totaled is $82.60.
First, to find x:
The man’s order of pens totaled cost = (Number of boxes of felt tip pens * cost of felt tip pens per box) + (Number of boxes of ballpoint pens * cost of Ballpoint pens per box)
Therefore,
[tex]\begin{gathered} 82.60=(x)(3.41)+(3x)_{}(4.37) \\ 82.60=3.41x+13.11x \\ 82.60=16.52x \\ x=\frac{82.60}{16.52} \\ x=5 \end{gathered}[/tex]Hence,
The number of boxes of felt tip pens be $5.
The number of boxes of ballpoint pens be,
[tex]3\times5=15[/tex]The number of boxes of ballpoint pens be, $15.
Thus,
The number of boxes of felt tip pens be $5.
The number of boxes of ballpoint pens be,
