We are asked to determine the total amount paid for 6 batteries and 4 folders. To do that we need to determine the unit price of each item. We do that by dividing the amount spent by the number of items that were bought. That is:
[tex]\begin{gathered} n_b=\frac{5\text{ dollars}}{3\text{ batteries}} \\ \\ n_f=\frac{2\text{ dollars}}{8\text{ folders}} \end{gathered}[/tex]Now we multiply the desired number of items by each of the corresponding unit prices:
[tex]N=\frac{5}{3}\times6+\frac{2}{8}\times4[/tex]Solving the operations:
[tex]\begin{gathered} N=10+1 \\ N=11 \end{gathered}[/tex]Therefore, the total amount paid is $11.
